If alpha and beta are the roots of eq...

If ` alpha and beta ` are the roots of equation ` x^(2) - 2 x + 4 = 0 ` ,then what is the equation whose roots are `( alpha^(3))/( beta^(2)) and ( beta^(3))/( alpha^(2))` ?

A

` - 4 + 8 = 0 `

B

` - 32 + 4 = 0 `

C

` - 2 + 4 = 0 `

D

` - 16 + 4 = 0 `

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation 2x^(2)-3x+4=0 ,then the equation whose roots are alpha^(2) and beta^(2), is

If alpha,beta are roots of the equation lx^(2) + mx + n = 0,then the equation whose roots are alpha^(3) beta and alpha beta^(3) ,is

If alpha and beta are the roots of the equation x^2 - 10x + 5 = 0 , then equation whose roots are (alpha+beta)^2 and (alpha-beta)^2 is

If alpha and beta are the roots of the equation 3x^(2)-5x+3 =0 , then the quadratic equation whose roots are alpha^(2)beta and alphabeta^(2) is :

If alpha and beta are the roots of the equation x^(2) - 2x + 4 = 0 , then what is the value of alpha^(3) + beta^(3) ?

If alpha and beta are the roots of the equation x^(2)-3x+2=0, Find the quadratic equation whose roots are -alpha and -beta :

If alpha, beta are roots of the equation x^(2) + x + 1 = 0 , then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) , is