If `alpha,beta` are the roots of lthe equation `2x ^2-3x-6=0,` find the equation whose roots are `alpha^2+2a n dbeta^2+2.`

If alpha, beta are the roots of the equation 2x^(2)-x-1=0 then form the equation whose roots are alpha^(2)beta ?

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

If alpha, beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are alpha^(22)" and "beta^(19) , is

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

If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the equation whose roots are alpha^3-3alpha^2+5alpha-2 and beta^3-beta^2+beta=5

If alpha and beta are the roots of the equation 3x^(2)-6x+1=0 form the equation whose roots are 2alpha + beta and 2beta + alpha

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