Question

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?

Answer 1

it can also be explained as B on edg :)

Answer 2

The result is

x + b/2a= ±√[(b² - 4ac)/2a]

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]