When the value of K is, the equation (x-1) / X - (8x + k) / 2x (x-1) + X / (x-1) = 0 about X has and only one real number is its root? And the real root is obtained

When the value of K is, the equation (x-1) / X - (8x + k) / 2x (x-1) + X / (x-1) = 0 about X has and only one real number is its root? And the real root is obtained

It is reduced to 2 (x-1) (x-1) - 8x-k + 2x * x = 0
Discriminant = 144-32 + 16K = 0
k=-7