SOLUTION: For what values of k are the roots of 2x^2-3x + k = 0 equal?

Question 257636: For what values of k are the roots of 2x^2-3x + k = 0 equal?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: -0.75, -0.75. Here's your graph:

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