The image of the first-order function y = x + B intersects with the image of the inverse scale function y = K + 3 / X at point a (m, n), and m, n (m, n) is a quadratic equation of one variable with respect to X Two unequal real roots of KX ^ 2 + (2k-7) x + K + 3 = 0, where k is a non negative integer and m and N are constants (1) Finding the value of K (2) Find the coordinates of point a and the analytic expression of first-order function

The image of the first-order function y = x + B intersects with the image of the inverse scale function y = K + 3 / X at point a (m, n), and m, n (m, n) is a quadratic equation of one variable with respect to X Two unequal real roots of KX ^ 2 + (2k-7) x + K + 3 = 0, where k is a non negative integer and m and N are constants (1) Finding the value of K (2) Find the coordinates of point a and the analytic expression of first-order function

1. KX ^ 2 + (2k-7) x + K + 3 = 0 has two unequal real roots
Then the discriminant: (2k-7) ^ 2-4k (K + 3) > 0
The result is: K