Given that X1 and X2 are the two real roots of the equation x2 + 2 (k-1) x + K2 = 0 about X, is there a constant k such that 1x1 + 1x2 = 32 holds? If it exists, find the value of K; if not, explain the reason

Given that X1 and X2 are the two real roots of the equation x2 + 2 (k-1) x + K2 = 0 about X, is there a constant k such that 1x1 + 1x2 = 32 holds? If it exists, find the value of K; if not, explain the reason

According to the meaning of the title, △ 4 (k-1) 2-4k2 ≥ 0, K ≤ 12, ∵ X1 + x2 = - 2 (k-1), x1 ∵ x2 = K2, 1x1 + 1x2 = 32, ∵ X1 + x2x1x2 = 32, ∵ 2 (K − 1) K2 = 32, 3k2 + 4k-4 = 0, K1 = 23, K2 = - 2, and the value of K ≤ 12, ∵ K is - 2

Elden Ring Premiere

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