If `alpha and beta` are the roots of the equation `4x^(2) + 3x + 7 = 0`, then what is the value of `(alpha^(-2) + beta^(-2))` ?

If alpha and beta are the roots of the equation x^(2) - 2x + 4 = 0 , then what is the value of alpha^(3) + beta^(3) ?

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

If alpha and beta are the roots of the equations x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+beta^(2)alpha^(-2)

If alpha and beta are the roots of the equation x^(2) -x+7=0 , then find the value of alpha^(2) + beta^(2) .