If the difference between the two equations 2x2 - (K + 1) x + K + 3 = 0 is 1, then the value of K is 1______ .

If the difference between the two equations 2x2 - (K + 1) x + K + 3 = 0 is 1, then the value of K is 1______ .

From the relationship between root and coefficient, we can know: X1 + x2 = K + 12, x1 · x2 = K + 32. From the known difference between the two is 1, we get | x1-x2 | = 1, that is, (x1-x2) 2 = 1. Then (x1 + x2) 2-4x1x2 = 1. (K + 1) 24-2 (K + 3) = 1, the solution is k = - 3 or 9. So the answer is: 9 or - 3