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

If `alpha, beta` are the roots of the equation `x^(2)-px+q=0`, find the quadratic equation the roots of the which are `(alpha^(2)-beta^(2))(alpha^(3)-beta^(3))` and `alpha^(3)beta^(2)+alpha^(2)beta^(3)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

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 are the roots of the equation 3x^(2) -4x+ 1 =0 ,find the equation whose roots are (alpha^(2))/( beta) and ( beta^(2))/( alpha )

If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0, form a quadratic equation whose roots are alpha^(2)+beta^(2) and alpha^(-2) + beta^(-2) .

IF alpha , beta are the roots of the equation ax^2+ bx +c=0 then the quadratic equation whose roots are alpha + beta , alpha beta is

Let alpha, beta are the roots of the equation x^(2)+x+1=0 , then alpha^3-beta^3

If alpha and beta are the roots of the equation 2x^(2)+3x+2=0 , find the equation whose roots are alpha+1 and beta+1 .

If alpha,beta are roots of x^2-px+q=0 then find the quadratic equation whose roots are ((alpha^2-beta^2)(alpha^3-beta^3)) and alpha^2beta^3+alpha^3beta^2

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .

If alpha, beta are the roots of the equation x^(2)+7x+12=0 , then the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2) is

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