The real root of the equation x2 + 2x + K + 1 = 0 of X is x1, X2 if X1 + x2-x1x2

The real root of the equation x2 + 2x + K + 1 = 0 of X is x1, X2 if X1 + x2-x1x2

(1) (2) according to the relationship between the root of quadratic equation with one variable and the coefficient, we get X1 + x2 = - 2, x1x2 = K + 1x1 + x2-x1x2 = - 2 - (K + 1). From the known, we get - 2 - (K + 1) < - 1, we get k > - 2