Question

What number should be added to both sides of the equation to complete the square?
x2 - 6x = 5

Answer 1

9

Explanation:

The given equation is:

`x^(2)` - 6
`x` = 5

To complete the square you have to add one number to both sides of the equation.

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

For the equation
`x^(2)` - 6
`x` = 5 the coefficient of the term x is -6.

(6 ÷ 2)² = 9
So you'll add 9 to both sides of the equation.

`x^(2)` - 6
`x` (+ 9) = 5 (+ 9)
↓

`x^(2)` - 6
`x` + 9 = 14

This can also be written as:
(
`x` - 3)² = 14