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)=x^2-p(x+1)-c , show that (alpha+1)(beta+1)=1-c .

If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=a x^2+b x+c , then evaluate: alpha^4beta^4

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-p(x+1)-c, show that (alpha+1)(beta+1)=1-c

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

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

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