Answer:
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]
