Suppose that 2x^(2) - 5x + k = 0 is a quadratic equation with one solution for x. Express k as a common fraction.
2x^2 - 5x + k = 0
If this has one solution then the discriminant = 0
So
(-5)^2 - 4 (2) k = 0
25 - 8k = 0
25 = 8k
25/8 = k