In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial. What is the result of applying the square root property of equality to this equation?

The result is

x + b/2a = ±√[ (b² - 4ac) / 2a]

Step-by-step explanation:

In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial

ax² + bx + c = 0

x² + (b/a) x + c/a = 0

x² + 2 (b/2a) x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a) ² - b²/4a² + c/a = 0

(x + b/2a) ² = b²/4a² - c/a

(x + b/2a) ² = (b² - 4ac) / 2a

Apply square roots to both sides

x + b/2a = ±√[ (b² - 4ac) / 2a]