Home
Class 12
MATHS
If alpha and beta the roots of the equat...

If `alpha and beta` the roots of the equation `a x^2+b x+c=0` then the sum of roots of the equation `a^2 x^2+(b^2-2 a c)x+b^2-4 a c=0` `(i) -(alpha^2 - beta^2) (ii) (alpha + beta)^2 -2alphabeta (iii) alpha^2beta + beta^2 alpha -4alphabeta (iv) -(alpha^2 + beta^2) `

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha and beta is the root of the equation x^2-3x+2=0 then find the value of alpha^2 + beta^2 + 2alphabeta

Let alpha,beta be the roots of the equation ax^2+bx+c=0 . A root of the equation a^3x^2+abcx+c^3=0 is (i) alpha+beta (ii) alpha^2+beta (iii) alpha^2-beta (iv) alpha^2beta

Let alpha,beta be the roots of the equation ax^2+bx+c=0 . A root of the equation a^3x^2+abcx+c^3=0 is (i) alpha+beta (ii) alpha^2+beta (iii) alpha^2-beta (iv) alpha^2beta

If alpha and beta be the roots of the equation x^2+3x+4=0 find the equation whose roots are (alpha+beta)^2 and (alpha-beta)^2 .

If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0 , then find the value of alpha^2beta + alphabeta^2 .

IF alpha and beta be the roots of the equation x^2+3x+4=0 , find the equation whose roots are (alpha+beta)^2 and (alpha+beta)^2

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