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

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" and "beta are the roots of x^(2)-ax+b^(2)=0 , then alpha^(2)+beta^(2) is equal to

If alpha and beta are the roots of x^(2) - ax + b^(2) = 0, then alpha^(2) + beta^(2) is equal to :

If alpha and beta are the roots of the equation x^2+ax+b=0 and alpha^4 and beta^4 are the roots of the equation x^2-px+q=0 then the roots of x^2-4bx+2b^2-p=0 are always

If alpha and beta are the roots of x ^(2) - ax + b ^(2) = 0, then alpha ^(2) + beta ^(2) is equal to

If alpha and beta are the roots of the equation x^(2)+ax+b=0 and alpha^(4) and beta^(4) are the roots of the equation x^(2)-px+q=0 then the roots of x^(2)-4bx+2b^(2)-p=0 are always

If alpha and beta are the roots of x^(2)-ax+b^(2)=0 , then alpha^(2) +beta^(2) is equal to_______

If alpha and beta be the roots of the equation (x-a)(x-b)=c ( cne0 ),prove that a and b are the roots of the equation (x-alpha)(x-beta)+c=0 .