If `alpha` and `beta` are the zeros of the quadratic polynomial `f(x)=x^2-px+q`, prove that `(alpha^2)/beta^2+(beta^2)/(alpha^2)=p^4/q^2-4p^2/q+2`

If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=x^2-p x+q , prove that (alpha^2)/(beta^2)+(beta^2)/(alpha^2)=(p^4)/(q^2)-(4p^2)/q+2

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-px+q ,prove that (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2))=(p^(4))/(q^(2))-4(p^(2))/(q)+2

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-px+q, prove that (a^(2))/(beta^(2))+(beta^(2))/(a^(2))=(p^(4))/(q^(2))-(4p^(2))/(q)+2

If alpha and beta are zeros of the quadratic polynomial f(x) = x^(2) - px + q , prove that (alpha^(2))/(beta^(2)) +(beta^(2))/(alpha^(2)) = (p^(4))/(q^(2)) - (4p^(2))/(q) + 2 .

If alpha and beta are the zeros of the quadratic polynomial f(x)=ax^(2)+bx+c, then evaluate: alpha^(4)beta^(4)

If alpha and beta be the zeroes of the quadratic polynomial f(x)=x^2-7x-4 then alpha/beta+beta/alpha=

If alpha and beta are the zeros of the quadratic polynomial p(x)=4x^2-5x-1 , find the value of alpha^2beta+alphabeta^2 .

If alpha and beta are zeros of the quadratic polynomial q(x)=x^(2)+3x+a,a!=0, then the value of (alpha^(2))/(beta)+(beta^(2))/(alpha) is :

if alpha and beta are the zeroes of quadratic polynomial p(x)=x^(2)-x-4 then find (1)/(alpha)+(1)/(beta)-alpha beta

If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=x^2-p x+q , then find the values of (i)alpha^2+beta^2 (ii) 1/alpha+1/beta