Question

When solving the following equation by completing the square, how would you

factor the perfect square trinomial?
x²
20x+100 = 64
(x-8)²
(x-50)²
(x - 5)²
(x+20)²
(x-20)²

Answer 1

When solving the equation by completing the square, the perfect square trinomial is factored as (x + 10)².

Step-by-step explanation:

When solving the equation by completing the square, the perfect square trinomial is factored by taking the square root of the coefficient of x² and adding it to both sides of the equation. The trinomial (x + 10)² can be factored from x² + 20x + 100.

Therefore, the correct answer is (x + 10)².

Learn more about Factoring perfect square trinomials