Home
Class 12
MATHS
If alpha,beta are the roots of the quadr...

If `alpha,beta` are the roots of the quadratic equation `x^(2)+px+q=0` ,then the values of `alpha^(3)+beta^(3)andalpha^(4)+alpha^(2)beta^(2)+beta^(4)` are respectively .

A

`3qp-p^(3)andp^(4)-3p^(2)q+3q^(2)`

B

`-p(3q-p^(2))and(p^(2)-q)(p^(2)+3q)`

C

`pq-4andp^(4)-q^(4)`

D

`3pq-p^(3)and(p^(2)-q)(p^(2)-3q)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha,beta are the roots of the quadratic equation x^2+px+q=0 , then the values of alpha^3+beta^3 and alpha^4+alpha^2beta^2+beta^4 are respectively

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

If alpha, beta be the roots of the equation x^(2)+x+1=0 , the value of alpha^(4)beta^(4)-alpha^(-1)beta^(-1) is

If alphaandbeta be the roots of the quadratic equation x^(2)-px+q=0 , then determine the value of (alpha^(5)beta^(7)+alpha^(7)beta^(5)) in terms of p and q.

If alpha , beta , gamma are the roots of the equation px^3 - qx + r = 0 , then the value of alpha + beta + gamma is

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

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

If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0 , then find the quadratic equation whose roots are (alpha-beta)^(2)and(alpha+beta)^(2) .

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 alphaand beta be the roots of the equation x^(2)+px+q=0 , then find the values of the quantities given below : alpha^(4)beta^(7)+beta^(4)alpha^(7)