Suppose 2x^2 - 5x + k = 0 that is a quadratic equation with one solution for x. Express k as a common fraction.
Also, pls include an explanation that is as clear as possible.
Thx
If we only have a single solution, then the discriminant = 0
So
(-5)^2 - 4(2)(k) = 0
25 - 8k = 0
25 = 8k
25 / 8 = k
The polynomial is 2x^2 - 5x + 25/8
And the single root (solution) to this is x = 5/4