It is known that X1 and X2 are two real roots of the equation x2-2kx + k2-k = 0. Is there a constant k such that x1x2 + x2x1 = 32? If it exists, find out the value of K; if not, explain the reason

It is known that X1 and X2 are two real roots of the equation x2-2kx + k2-k = 0. Is there a constant k such that x1x2 + x2x1 = 32? If it exists, find out the value of K; if not, explain the reason

This paper is a = 1, B = -2k, C = k2-k, C = k2-k, and △ b2-4ac = (-2k) 2-4 (k2-k) (k2-k) = 4K {when k ≥ 0, the equation has real roots; when k ≥ 0, the equation has real roots; when k ≥ 0, the equation has real roots; when k \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\32established