# How do you solve #x^2 + 32x + 15 = -x^2 + 16x + 11# by completing the square?

##### 1 Answer

#### Answer:

Simplify the given equation then apply the process of "completing the squares" to obtain

#### Explanation:

Given

First simplify to get all terms involving

Further simplify by dividing by 2

Now we are ready to begin completing the square.

#

Noting that the squared binomial

If

then

So the completed square must be (after remembering that anything added to one side of an equation must also be added to the other)

or

Taking the square root of both sides:

and