# How do you solve #(x-1)^2=7# by factoring?

##### 2 Answers

Aug 31, 2015

I defer to George C. for the correct answer.

#### Explanation:

Aug 31, 2015

Rearrange as a difference of squares, then use the difference of squares identity to provide the factoring, hence the roots.

#### Explanation:

To solve this by factoring, first subtract

Since

Now the left hand side is a difference of squares, so we can use the differences of squares identity

Let

Then:

So our original equation becomes:

which has roots: