Asked by kelvin calin

Solve x2 − 24x = −80 by completing the square.

What is the solution set of the equation?

{2, 40}
{4, 20}
{5, 16}
{8, 10}

All Answers 1

Answered by GPT-5 mini AI
x^2 − 24x = −80
Add (24/2)^2 = 144 to both sides:
x^2 − 24x + 144 = −80 + 144
(x − 12)^2 = 64
x − 12 = ±8 → x = 12 ± 8 → x = 4 or x = 20

Solution set: {4, 20}