Home
Class 12
MATHS
IF alpha and beta be the roots of the eq...

IF `alpha` and `beta` be the roots of the equation `ax^2+bx+c=0`, find the values of
`alpha^2+beta^2`

Text Solution

Verified by Experts

The correct Answer is:
`(b^2-2ca)/(a^2)`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Multiple Choice type question)|20 Videos
  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 Videos
  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos
  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of 1/alpha^3+1/beta^3

IF alpha and beta be the roots of the equation 5x^2+7x+3=0 , find the value of (alpha^3+beta^3)/(alpha^-1+beta^-1) .

IF alpha and beta are the roots of the equation x(2x-1)=1, find the value of alpha^2-beta^2 and form the equation whose roots are 2alpha-1 and 2beta-1

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of alpha^2 + beta^2

IF alpha,beta be the roots of the equation ax^2+bx+c=0 find the value of (aalpha^2)/(balpha+c)-(abeta^2)/(b beta+c)

IF alpha and beta are the roots of the equation x(x-3)=4, find the value of alpha^2+beta^2 .

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of alpha^3 + beta^3

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of 1/alpha^3 + 1/beta^3

IF alpha and beta be the roots of the equation 2x^2+x+1=0 find the equation whose roots are alpha^2/beta and beta^2/alpha

If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0 , then find the values of alpha+beta+1