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A day full of math games & activities. Find one near you.

# What number should be added to both sides of the equation to complete the square (x^{2} - 6x = 5)?

**Solution:**

For completing the square, we follow the steps listed below.

- First divide the coefficient of the term x by 2 and square the result.
- This number should be added to both sides of the equation

For the equation x^{2} - 6x = 5 the coefficient of the term x is -6

(-6/2)^{2} = 9

The given equation can be written as

x^{2} - 6x + 9 = 5 + 9

x^{2} - 6x + 9 = 14

We can write it as

(x - 3)^{2} = 14

Take square root on both sides.

|x - 3| = √14

We get

x = 3 + √14

In other case,

- x + 3 = √14

x = 3 - √14

Therefore, 9 should be added to both sides of the equation to complete the square (x^{2} - 6x = 5).

## What number should be added to both sides of the equation to complete the square (x^{2} - 6x = 5)?

**Summary:**

The number that should be added to both sides of the equation to complete the square (x^{2} - 6x = 5) is 9.

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