1. It is known that the two roots of the equation x ^ 2 + KX + K + 2 = 0 are x1x2 and X1 ^ 2 + x2 ^ 2 = 4 to find the value of K 2. It is known that the sum of squares of the two quadratic equations x ^ 2 + 2 (m-2) x + m ^ + 4 = 0 is 40 greater than the product of the two, so we can find the value of M

1. It is known that the two roots of the equation x ^ 2 + KX + K + 2 = 0 are x1x2 and X1 ^ 2 + x2 ^ 2 = 4 to find the value of K 2. It is known that the sum of squares of the two quadratic equations x ^ 2 + 2 (m-2) x + m ^ + 4 = 0 is 40 greater than the product of the two, so we can find the value of M

1. According to Weida's theorem: X1 + x2 = - K, x1x2 = K + 2x1 ^ 2 + x2 ^ 2 = (x1 + x2) ^ 2-2x1x2 = 4K ^ 2-2 (K + 2) = 4K ^ 2-2k-8 = 0 (K-4) (K + 2) = 0k = 4 or - 2, and the discriminant = k ^ 2-4 (K + 2) > = 0k ^ 2-4k-8 > = 0 (K-2) ^ 2 > = 12k-2 > = 2 radical 3 or K-2 = 2 + 2 radical 3 or K = 0m ^ 2-4m + 4-m ^ 2-4 > = 04M