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

x2 - 6x = 5

9 should be added to complete the square

Step-by-step explanation:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.

x^2 - 6x = 5

2. Make sure that the coefficient of the x^2 term is 1.

x^2 - 6x = 5

3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.

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

(x-3) ^2 = 14

Therefore, 9 should be added to both sides to complete the square.

9

Step-by-step explanation:

x^2 - 6x = 5

Take the coefficient of x

-6

Divide it by 2

-6/2 = - 3

Square it

(-3) ^2 = 9

Add 9 to each side