If `alpha and beta` are the real roots of the equation `x^2 - (k+ 1)x-(k+2) = 0,` then minimum value of `alpha^2+beta^2` is

If alpha & beta are the roots of the quadratic equation x^(2)-(k-2)x-k+1=0 , then minimum value of alpha^(2)+beta^(2) is

If alpha & beta are the roots of the quadratic equation x^(2)-(k-2)x-k+1=0 ,then minimum value of alpha^(2)+beta^(2) is

If alpha and beta are the roots of the equation x ^(2) + alpha x + beta = 0, then

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^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) .

Let alpha, beta be ral roots of the quadratic equation x ^(2)+kx+ (k^(2) +2k-4) =0, then the minimum value of alpha ^(z)+beta ^(z) is equal to :