# How do you solve the quadratic equation by completing the square: (2x-3)^2=8?

Jul 22, 2015

#### Answer:

I think you already completed the square (on the left)!!!

#### Explanation:

You can take the square root of both sides:
$2 x - 3 = \pm \sqrt{8}$
so you get two solutions; rearranging:
${x}_{1} = \frac{3 + \sqrt{8}}{2}$
${x}_{2} = \frac{3 - \sqrt{8}}{2}$