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 there is one real solution, the discriminant must = 0.....so...
5^2 - (4) (2) (k) = 0
25 - 8k = 0
25 = 8k
k = 25 / 8