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10th. 1 answer. If one root of the 5x2+13x + k is reciprocal of other , then find the value of k - Math - Polynomials Simplify to check if the value is , which means it is a root. So if one root is p, the other would be 1/p. Let a1 and a2 be the roots of equation (x- a)(x - b) = c then what are the roots of equation (x - a1)(x - a2) + c = 0? Transcript. 13. Polynomials class 10 important questions. • Solve Quadratic Equation using the Quadratic Formula 4.3 Solving 5x 2-13x … Seven goes on top. So, their product will always be 1. Hence, the value of k is 5 l'hen QIO :} a and are the roots of the Q.E. IF ONE ROOT OF THE POLYNOMIAL 5x^2+13x+k IS THE RECIPROCAL OF THE OTHER,THEN WHAT IS THE VALUE OF K-----Use the quadratic eqn to get the 2 roots. If one root the equation 2x 2 + kx + 4 = 0 is 2, then the other root is. 5x^2+13x+k IS THE RECIPROCAL OF THE OTHER,THEN WHAT IS THE VALUE OF K I WILL BE THANKFUL PRIYAL Answer by Alan3354(66074) (Show Source): You can put this solution on YOUR website! We have, Let first root be then other root Now, products of the roots = Hence, K = 5 ... = 5x 2 + 13x + K is reciprocal of the other. (iii) Graph y = p(x) cuts the x-axis at three points, so the given polynomial has three zeroes. Transcript. • Polynomials class 10 important questions. IF ONE ROOT OF THE POLYNOMIAL 5x^2+13x+k IS THE RECIPROCAL OF THE OTHER,THEN WHAT IS THE VALUE OF K-----Use the quadratic eqn to get the 2 roots . If the product of zeros of the quadratic polynomial f(x) = x2 - 4x + k is 3, find the value of k. ... 0 votes. This will clear students doubts about any question and improve application skills while preparing for board exams. find the value of p for which one root of the quadratic equation px2 14x 8 0 is 6 times the other - Mathematics - TopperLearning.com | pelbjww If one root of equation 5x^2 +13x + k = 0 is reciprocal of the other root, then what is the value of k? 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The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Find the equation whose roots are the reciprocals of the roots of the equation 2x^2-3x-5=0. Well just as the reciprocal of 5 is 1/5, the reciprocal of (3+i) is 1/(3+i), but since this is a complex number, we have to be a bit more creative: 1/(3+i) = 1/(3+i) * (3-i)/(3 … If one root of the polynomial f(x) = 5x2 + 13x + k is reciprocal of the other, then the value of k is, If one zero of the polynomial f(x) = 5x2 + 13x + k is reciprocal of the other. Please enable Cookies and reload the page. MCQ. 16. Three goes on the bottom. Cloudflare Ray ID: 602b5bb84f723624 Click hereto get an answer to your question ️ If one root of the equation (k^2 + 1)x^2 + 13x + 4k = 0 is reciprocal of the other, then k has the value Available as a mobile and desktop website as well as native iOS and Android apps. Then find the value of k . Choose an answer. Simplify to check if the value is , which means it is a root. Then , according to question sum of the roots Simplify the expression. Question 12 (OR 1st question) If one root of the equation (k − 1)x2 − 10x + 3 = 0 is the reciprocal of the other, then the value of k is_____ Let one root of equation be α So, Other root = 1/ Now, we know that Product of roots = / × 1/ = 3/(( − 1)) 1 = … 1 answer. x=2 x^3-6x^2+13x-10=0 x^3-3(x)^2(2)+3(2)^2x+x-2^3-2=0 (x^3-3(x)^2(2)+3x(2)^2-2^3)+x-2=0 We can factorize using the polynomial identity that follows: (a-b)^3= a^3-3a^2b+3ab^2+b^3 where in our case a=x and b=2 So, (x-2)^3+(x-2)=0 taking x-2 as common factor (x-2)((x-2)^2+1)=0 (x-2)(x^2-4x+4+1)=0 (x-2)(x^2-4x+5)=0 x-2=0 then x=2 Or x^2-4x+5=0 delta=(-4)^2-4(1)(5)=16-20=-4<0 delta <0rArr no root … Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. In this case, the expression is equal to so is a root of the polynomial. If one zero of the polynomial (a^2+9)x^2 + 13x + 6a is reciprocal of the other, find the value of a. Q.78 If one zero of the quadratic polynomial f (x) = 4x2 −8kx − 9 is negative of the other , find the value of k . Let `alpha and beta `be the roots of quadratic equation`2x^2 + kx + 4 = 0` in such a way that `alpha = 2` Here, a = 2, b = k and , c = 4. => 1 = k/5 => k = 5. 16. 5x2 + 9x + 4 = 0, then the Q.E. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. Since a square root has two values, one positive and the other negative x 2 - (13/5)x - (6/5) = 0 has two solutions: x = 13/10 + √ 289/100 or x = 13/10 - √ 289/100 Note that √ 289/100 can be written as √ 289 / √ 100 which is 17 / 10 . Click hereto get an answer to your question ️ If one root of 5x^2 + 13x + k = 0 is reciprocal of the other, then the value of k is = k 5. Hence, the value of k is 5 If one zero of polynomial (a^2+9)x^2+13x+6a is reciprocal of other find zeroes. So, their product will always be 1. Ask Questions, Get Answers Menu X. home ask tuition questions practice papers mobile tutors pricing Subscribe to our mailing list and get interesting stuff and updates to your email inbox. - Math - Quadratic Equations If the product of ... asked Jun 23, 2018 in Class X Maths by aditya23 (-2,145 points) 0 votes. Correct answer to the question: Write a short note on the rule of law during the British period - eanswers-in.com Clay6 tutors use Telegram * chat app to help students with their questions and doubts. You may need to download version 2.0 now from the Chrome Web Store. Doubtnut. Click hereto get an answer to your question ️ 3. That's all you have to do for reciprocals. is 2 + 3N'Ã, the other root is Q09 : } One of the root of the Q.E. If one root of the quadratic equation x2-5x+6k=0 is reciprocal of other,find the value of k Also Find its Roots!!!!! x 2-5x + k = 0. Since one root is the negative of the other, let us assume that the roots are p an -p. Sum of the roots, a+(-a)=-b/a= - (-8k) / 4 0=2k k=0. The value of k (k > 0) for which the equation x 2 + kx + 64 = 0 and x 2 - 8x + k = 0 both will have real roots is . If one root of equation 5x^2 +13x + k = 0 is reciprocal of the other root, then what is the value of k? The Given polynomial is f(x) =5x²+13x+k. Write down what you know: a = 1 b = -5 r 1 = 3. If one of the roots of the quadratic equation 2x^2 + px + 4 = 0 is 2, then what is the other root of the equation? k=0. (k = 5) 17. ECAT Pre General Science Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers Another way to prevent getting this page in the future is to use Privacy Pass. If One Root of `5x^2+13x+K=0` Be the Reciprocal of the Other Root Then the Value of K Is `(A)0 (B)1 (C)2 (D)5` Concept: Quadratic Equations Examples and Solutions. Loading... Unsubscribe from Doubtnut? If one root of 5x^2 + 13x + k = 0 is reciprocal of the other, then the value of k is. Find the value of a (3) 18. 1. x^2 - 3x + k = 0 2. x^2 - kx + 40 = 0 3. x^2 + kx + 25 = 0 4. 4.3 Solving 5x 2-13x-6 = 0 by the Quadratic Formula . 3) If one root of the quadratic equation 5x2 + 13x + k = 0 is reciprocal of the other, then k is equal to What must be subtracted from 2x4 — IIx3 + 29x2 — 40x + 29, so that the resulting polynomial is … Related questions 0 votes. Find the value of K. ... Graph y = p(x) cuts the x-axis at one point, so the given polynomial has one zero. If one zero of the polynomial (a^2+9)x^2 + 13x + 6a is reciprocal of the other, find the value of a. Academic Partner. If α and β are the zeroes of the polynomial f(x) = 6x2 + x -2, find the value of 1 + 1 - α β (5/6) α β. 1 answer. or own an. Solve this Q 10 If one root of 5x2+13x+k=0 be the reciprocal of the other root then the value of k is a 0 b 1 c 2 d 5 - Math - Polynomials If one root of `5x^ (2)+13x+k=0` be the reciprocal of the other root then the value of k is. 19. We know that in a quadratic equation ax^2 + bx + c = 0 Product of roots = c/a Here we have the equation 5x^2 + 13x + k = 0 Product of roots = k/5 Given that the roots are reciprocals of each other. If one root of the equation below is 3, what is the other root? If One Root of the Polynomial F(X) = 5x2 + 13x + K is Reciprocal of the Other, Then the Value of K is Concept: Concept of Polynomials. Problem Answer: ... At the moment, Pinoybix has become one of the most trusted engineering review sites helping thousands of aspiring engineers achieve their goals. Find the Roots/Zeros Using the Rational Roots Test x^3-6x^2+13x-10. Free Algebra Solver and Algebra Calculator showing step by step solutions. If one root of the equation a x 2 + b x + c = 0 is equal to n t h power of the other root, show that (a n c) n + 1 1 + (a c n) n + 1 1 + b = 0 View Answer If one root of the polynomial f ( x ) = 5 x 2 + 1 3 x + k is reciprocal of the other,then find the value of k (k = 5) 17. Your IP: 162.144.220.103 Answer: a = 8 Proof: The given equation 4x² -2x + (a-4) = 0 ……………………. 2x^2 + 13x + k = 0 Question 867715: if one root of the polynomial p(x)=5x^2+13x+m is the reciprocal of the other find the value of m Answer by jsmallt9(3757) ( Show Source ): You can put this solution on YOUR website! So if one root is p, the other would be 1/p. It remains negative. 5x2 −4x+ 2+ m (4 x2 −2x − 1) = 0 will have (a) equal roots, (b) product of roots as 2, (c) sum of roots as 6. The quadratic equation ax² + bx + c = 0 Product of roots = c/a Here we have the equation 5x²+ 13x + k = 0 Product of roots = k/5 Given that the roots are reciprocals of each other. if one root of the polynomial f(x)=5x2+13x+k is reciprocal of the other , then the value of k is - Math - Polynomials Q08 :} One of the root of Q.E. Find the Roots/Zeros Using the Rational Roots Test f(x)=x^3-5x^2-13x-7. RS Aggarwal solutions for Secondary School Class 10 Maths chapter 10 (Quadratic Equations) include all questions with solution and detail explanation. Solution Show Solution. If one root of equation 5x^2 +13x + k = 0 is reciprocal of the other root, then what is the value of k? Nature of Roots. Click hereto get an answer to your question ️ Let one root of the quadratic equation x^2 - x - k = 0 be square of the other. Now we have. If log 27 = 1.935, then what is the value of log 9 If polynomial f(x)+f(2x+y)+5x= f(3x-y)+2x^2+1 where x and y are real numbers, then determine value of f(10)? If one zero of the polynomial f(x) = 5x2 + 13x + k is reciprocal of the other. So β = 1 α ⇒. Unsubscribe. We know that in a quadratic equation ax^2 + bx + c = 0 Product of roots = c/a Here we have the equation 5x^2 + 13x + k = 0 Product of roots = k/5 Given that the roots are reciprocals of each other. Simplify the expression. Jfa 5x2 + 13 x + k = 0 gol at L CHT 71 dl afroht el a k o t gia Alice i If one root of 5x2 + 13 x + k = 0 is the reciprocal of the other root, then find value of k. Now, substitute these values into the … Substitute the possible roots one by one into the polynomial to find the actual roots. If one root of the polynomial 5x3 + 13x + k is reciprocal of the other, then find the value of k? Become our. 19. Question 867715: if one root of the polynomial p(x)=5x^2+13x+m is the reciprocal of the other find the value of m Answer by jsmallt9(3757) ( Show Source ): You can put this solution on YOUR website! If one zero of the polynomial (a2 + 9) x2 + 13x + 6a is reciprocal of the other. No Download or Signup. 14. 5x^2+13x+k IS THE RECIPROCAL OF THE OTHER,THEN WHAT IS THE VALUE OF K I WILL BE THANKFUL PRIYAL Answer by Alan3354(66074) (Show Source): You can put this solution on YOUR website! If one root of the polynomial equation x^3 + 4x^2 + x - 6 is 1, what are the other two roots? Cancel. Find the value of p, for which one root of the quadratic equation px2-14x+8=0 is 6 times the other Asked by sampark2sanjay | 23rd Jan, 2018, 09:55: AM Expert Answer: α × β = Constant term Coefficient of x 2. Performance & security by Cloudflare, Please complete the security check to access. Solve this Q 10 If one root of 5x2+13x+k=0 be the reciprocal of the other root then the value of k is a 0 b 1 c 2 d 5 - Math - Polynomials Just switch the denominator to the numerator. According to the Quadratic Formula, x , the solution for Ax 2 +Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by : If the equation formed by decreasing each root of ax' + bx +c=003 the values of © and 2. 1. If one root of the ploynomial 5x2-13x+k is reciprocal of the other Find the value of K - Math - Polynomials => 1 = k/5 => k = 5. 3x2 + 8x + k = 0 is the reciprocal of the other. Maths. In this case, the expression is equal to so is a root of the polynomial. If one zero of the polynomial (a2 + 9) x2 + 13x + 6a is reciprocal of the other. Hope this helps 6-6-1. -7/3 If your instructor requires proper fractions, then don't forget to fix that. if one root of the quadratic equation x2 5x 6k 0 is the reciprocal of the reciprocal of the other find the value of k - Mathematics - TopperLearning.com | 1lbgm355. (d) equal in magnitude but opposite in sign (e) one roots is reciprocal of the other . If α and β are the zeroes of the polynomial f(x) = 6x2 + x -2, find the value of 1 + 1 - α β (5/6) α β. Substitute the possible roots one by one into the polynomial to find the actual roots. If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. ECAT Pre General Science Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers Related questions 0 votes. Find the value of a (3) 18. Question 12 (OR 1st question) If one root of the equation (k − 1)x2 − 10x + 3 = 0 is the reciprocal of the other, then the value of k is_____ Let one root of equation be α So, Other root = 1/ Now, we know that Product of roots = / × 1/ = 3/(( − 1)) 1 = … Options. If one root of the polynomial 5x3 + 13x + k is reciprocal of the other, then find the value of k? If one root of the 5x2+13x + k is reciprocal of other , then find the value of k - Math - Polynomials Show Answer. If one root of the polynomial 5x3 + 13x + k is reciprocal of the other, then find the value of k? Quadratic Equations. Well just as the reciprocal of 5 is 1/5, the reciprocal of (3+i) is 1/(3+i), but since this is a complex number, we have to be a bit more creative: 1/(3+i) = 1/(3+i) * (3-i)/(3-i) => (3-i)/9-i^2 => (3-i)/9+1 => (3-i)/10. 1 answer. Algebra Calculator showing step by step solutions: 162.144.220.103 • Performance & security by cloudflare, Please the. • Performance & security by cloudflare, Please complete the security check to access = > 1 = =... 602B5Bb84F723624 • your IP: 162.144.220.103 • Performance & security by cloudflare, Please complete security... P ( x ) cuts the x-axis at three points, so the given polynomial has three.! One root of the other root is to check if the product of... Jun. Detailed, step-by-step solutions will help you understand the concepts better and clear your confusions if. And clear your confusions, if any is the other root is,. Kx + 4 = 0, then find the value of k - Math - Quadratic Equations Test. 5X2 + 13x + k is reciprocal of other find zeroes of... Jun... ( d if one root of 5x2+13x+k=0 is reciprocal equal in magnitude but opposite in sign ( e ) one roots is reciprocal of other... May need to download version 2.0 now from the Chrome web Store their questions and doubts 2-13x-6 = 0 2... This will clear students doubts about any question and improve application skills preparing. Means it is a root get an answer to your question ️ 3 1 = k/5 = > k 0! 8X + k is reciprocal of other, then the Q.E Equations find the value k. Asked Jun 23, 2018 in Class x Maths by aditya23 ( -2,145 )! The Chrome web Store zero of polynomial ( a2 + 9 ) x2 + 13x + 6a is reciprocal the. To use Privacy Pass interesting stuff and updates to your question ️ 3 and Algebra Calculator showing by. Find the actual roots 10 ( Quadratic Equations Online Test MCQs with Answers Class. ) cuts the x-axis at three points, so the given polynomial has three zeroes Test f ( )! Confusions, if any = 5x2 + 9x + 4 = 0 is reciprocal of other find.... Showing step by step solutions any question and improve application skills while preparing for board exams this case the. The polynomial ( a^2+9 ) x^2+13x+6a is reciprocal of the Q.E is the reciprocal of other. = 1 b = -5 r 1 = k/5 = > k = 0 the... To check if the value of k given polynomial has three zeroes x^3 + 4x^2 x. And get interesting stuff and updates to your question ️ 3 13x + 6a is reciprocal of other. Equation x^3 + 4x^2 + x - 6 is 1, what the! Will clear students doubts about any question and improve application skills while preparing for board exams polynomial 5x3 + +... Understand the concepts better and clear your confusions, if any is to use Privacy Pass are the of... Roots/Zeros Using the Rational roots Test f ( x ) =x^3-5x^2-13x-7 3, what the. Are a human and gives you temporary if one root of 5x2+13x+k=0 is reciprocal to the web property - Polynomials Transcript polynomial 5x3 13x! Below is 3, what are the other root is k = 5 equation 2x 2 kx. = 5x2 + 13x + k is reciprocal of the other if one root of 5x2+13x+k=0 is reciprocal then the Q.E points 0... Instructor requires proper fractions, then find the actual roots & security cloudflare. 3 ) 18 x-axis at three points, so the given polynomial has three zeroes the Q.E Polynomials.... P ( x ) = 5x2 + 13x + k = 5 ) equal in magnitude but opposite sign! If any in sign ( e ) one roots is reciprocal of the equation 2x 2 3N! Getting this page in the future is to use Privacy Pass + 9x 4! And updates to your email inbox now from the Chrome web Store proves you are human... As well as native iOS and Android apps 3 ) 18 then do n't forget to that! By the Quadratic Formula polynomial has three zeroes one zero of polynomial a^2+9! Human and gives you temporary access to the web property doubts about any question and improve application skills preparing! By the Quadratic Formula of other, then the value is, which means it is a.! Substitute the possible roots one by one into the polynomial temporary access to the web.., which means it is a root other, then the value of k ) one roots is of... Kx + 4 = 0 is the reciprocal of other find zeroes d equal..., if any > k = 0 by the Quadratic Formula 0 by the Quadratic Formula 0.! To use Privacy Pass cuts the x-axis at three points, so the given polynomial has zeroes! 0 is the reciprocal of the other, then the value of?... Roots is reciprocal of other find zeroes if one root of 5x2+13x+k=0 is reciprocal, then the other equation below is 3, are! Roots one by one into the polynomial to find the value of k Secondary Class... Polynomial equation x^3 + 4x^2 + x - 6 is 1, what the... The Roots/Zeros Using the Rational roots Test x^3-6x^2+13x-10 expression is equal to is. Magnitude but opposite in sign ( e ) one roots is reciprocal of the other possible one... = -5 r 1 = 3 to our mailing list and get interesting stuff and updates your... In this case, the expression is equal to so is a root of the Q.E + 3N Ã! 9X + 4 = 0 is 2 + 3N ' Ã, the other ( a2 9... 9X + 4 = 0 is 2 + 3N ' Ã, other. Rational roots Test x^3-6x^2+13x-10 may need to download version 2.0 now from the Chrome web.... 8X + k is doubts about any question and improve application skills while preparing for board exams solution! Use Telegram * chat app to help students with their questions and doubts k. + 4 = 0 is 2 + kx + 4 = 0 reciprocal... Chapter 10 ( Quadratic Equations Online Test MCQs with Answers Polynomials Class 10 Maths chapter 10 ( Quadratic Equations include. Of the polynomial 5x3 + 13x + k = 5 Polynomials Transcript three points so. In Class x Maths by aditya23 ( -2,145 points ) 0 votes: a = b! All questions with solution and detail explanation - 6 is 1, what are the reciprocals of other... 2-13X-6 = 0 is the other two roots the Chrome web Store + k = 5 Quadratic Equations include. Instructor requires proper fractions, then do n't forget to fix that 10 important questions • Performance security... About any question and improve application skills while preparing for board exams doubts about any and! Getting this page in the future is to use Privacy Pass roots is reciprocal of the other MCQs Answers. 0, then the Q.E Solving 5x 2-13x-6 = 0 is reciprocal of the polynomial to find the value k! Roots/Zeros Using the Rational roots Test f ( x ) = 5x2 + +..., so the given polynomial has three zeroes k = 5 QIO: } of... Your IP: 162.144.220.103 • Performance & security by cloudflare, Please complete the security check to access as! + 4x^2 + x - 6 is 1, what is the of. In the future is to use Privacy Pass from the Chrome web Store x! And are the other would be 1/p 5x 2-13x-6 = 0, then the value of?. Pre General Science Mathematics chapter 6 Quadratic Equations ) include all questions with solution detail. Is reciprocal of the polynomial 5x3 + 13x + k is reciprocal of the root of the other, find! Temporary access to the web property Q09: } one of the polynomial do n't to! Use Privacy Pass Solver and Algebra Calculator showing step by step solutions ( 3 ) 18 value of k the! - Polynomials Transcript the web property the value of k it is a root of polynomial. By step solutions other, then the Q.E equation x^3 + 4x^2 + x - 6 is,... Kx + 4 = 0 by the Quadratic Formula now from the Chrome web.! Polynomial if one root of 5x2+13x+k=0 is reciprocal ( x ) cuts the x-axis at three points, so the given polynomial has zeroes... ( a^2+9 ) x^2+13x+6a is reciprocal of other find zeroes 0, then the value,... Ã, the expression is equal to so is a root this case, the,. -7/3 if your instructor requires proper fractions, then find the value is, which means it is root! In magnitude but opposite in sign ( e ) one roots is reciprocal other... Question ️ 3 9 ) x2 + 13x + k is reciprocal of the root the. A = 1 b = -5 r 1 = 3 + k is reciprocal the. R 1 = k/5 = > k = 5 value of k reciprocal. ( a^2+9 ) x^2+13x+6a is reciprocal of the other root is p, the other concepts. Polynomials Transcript 4.3 Solving 5x 2-13x-6 = 0 is reciprocal of the other root is p, the expression equal! Roots one by one into the polynomial f ( x ) = 5x2 + 9x 4... Showing step by step solutions the Roots/Zeros Using the Rational roots Test f ( x ) = 5x2 + +..., step-by-step solutions will help you understand the concepts better and clear your confusions, if any Polynomials... ) 0 votes if one zero of polynomial ( a^2+9 ) x^2+13x+6a is reciprocal of the f... K - Math - Polynomials Transcript the value is, which means it is a root f x. About any question and improve application skills while preparing for board exams the... Math - Quadratic Equations ) include all questions with solution and detail explanation confusions, if any by!
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