Question

What number should be added to both sides of the equation to complete the square?

x2 – 6x = 5

Answer 1

9 should be added

Explanation:

got it right on the quiz

Answer 2

9 should be added to both sides of the equation to complete the square.

Explanation:

Given :
`x^2 -6x = 5`

To Find: What number should be added to both sides of the equation to complete the square?

Solution:

`x^2 -6x = 5`

Add the square of half of coefficient of x

So, the square of half of coefficient of x =
`((6)/(2))^2=3^2 =9`

So,
`x^2 -6x +9 = 5+9`

`x^2 -6x +3^2 = 5+9`

`x^2 -2 * 3 * x +3^2 = 5+9`

`(x-3)^2 = 5+9`

`(x-3)^2 =14`

Thus 9 should be added to both sides of the equation to complete the square.