# What is the discriminant of #2x^2 = 4x - 7# and what does that mean?

##### 1 Answer

May 30, 2018

In the equation

#### Explanation:

By completing the square it is possible to see that the solutions of the equation:

are of the form:

So, to have solutions in the real numbers (as opposed to complex numbers), the square root

In summary, to have real solutions, the discriminant