If `alpha ` and `beta` are the roots of `x^(2)+ax+b=0`, then prove that `(alpha)/(beta)` is a root of the equation `bx^(2)+(2b-a^(2))x+b=0`

If alpha , beta are the roots of ax ^2 + bx +c=0 then alpha ^5 beta ^8 + alpha^8 beta ^5=

If alpha , beta are the roots of ax^2+bx +c=0 then (1+ alpha + alpha ^2)(1+ beta + beta ^2) is

If alpha , beta are the roots of ax^2+bx +c=0 then (a alpha + b)^(-2)+( a beta + b)^(-2) =

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

If alpha and beta are the roots of the equation ax^(2)+bc+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

If alpha,beta are roots of the equation 3x^(2)+4x-5=0 , then (alpha)/(beta) and (beta)/(alpha) are roots of the equation

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

If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and alpha +h, beta + h are the roots of the equation Ax^(2) +2Bx + C=0 then

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

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