# How do you solve #2x^2-9x+4=(2x-1)^2#?

##### 1 Answer

Sep 11, 2015

#### Explanation:

We will start by expanding (FOILing ) the right-hand side of the equation:

Next, subtract

Add

And now, subtract 4 from both sides:

This is a simple quadratic equation in

Simplification gives us:

Which further reduces to:

From here it should be easy to see that