# How do you solve #x^2+10x+16=0# by completing the squares?

##### 2 Answers

#### Answer:

#### Explanation:

Given:

To complete the square put the two

Complete the square by multiplying the

and adding the square of this number to the right side of the equation:

UNDERSTANDING CHECK:

The

To solve, square root both sides of the equation:

#### Answer:

#### Explanation:

The process of completing the square is done by adding a missing term to an expression so as to create the square of a binomial.

In

The required constant is determined from

Add this to both sides of the equation:

The left side is now the square of a binomial, ie a perfect square.

This leads to two solutions: