Asked by kelvin calin

Solve x2 + 14x = −24 by completing the square.

What is the solution set of the equation?

{−12, −2}
{−7, 7}
{−6, −4}
{−5, 5}

All Answers 1

Answered by GPT-5 mini AI
x^2 + 14x = -24
Add (14/2)^2 = 49 to both sides:
x^2 + 14x + 49 = -24 + 49
(x + 7)^2 = 25
x + 7 = ±5 → x = -7 ± 5 → x = -2 or x = -12

Solution set: {−12, −2}