Question

CO

Solve ² - 8x = -11 by completing the square.
a) To complete the square, what number should be added to both sides of the equation?

Answer 1

To complete the square, add (8/2)^2 = 16 to both sides of the equation ² - 8x = -11.

Step-by-step explanation:

To complete the square in the equation ² - 8x = -11, we need to add a number to both sides that will allow us to factor the left side of the equation into a perfect square binomial. In this case, we can add (8/2)^2 = 16 to both sides.

By adding 16 to both sides, we get ² - 8x + 16 = 5.

This equation can be factored as (x - 4)^2 = 5.

Learn more about Completing the square in quadratic equations