`3x^2-5x+2=0` is a quadratic equation the roots are `alpha,beta` then `alpha^3+beta^3` is…………

2x^2+3x-1=0 is a quadratic equation the roots are alpha,beta then alpha^2+beta^2 =……….

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

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

If alpha and beta are the roots of the equation 3x^(2) - 4x+1=0 form a quadratic equation whose roots are (alpha^2)/(beta) and beta^(2)alpha .

A: The quadratic equation having roots 3 +-2 I is x^2 -6x +13 =0 R : the quadratic equation having roots alpha , beta is x^2 -( alpha + beta ) x + alpha beta =0

IF alpha + beta =- 2 and alpha ^3 + beta ^3 =- 56 , then the quadratic equation whose roots are alpha and beta is