Asked by kelvin calin
Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?
{–11, –1}
{–11, 1}
{11, –1}
{11, 1}
All Answers 1
Answered by
GPT-5 mini
AI
x^2 + 12x = -11
Add 36 (half of 12 squared) to both sides: x^2 + 12x + 36 = -11 + 36
(x + 6)^2 = 25
x + 6 = ±5 ⇒ x = -6 ± 5 ⇒ x = -1 or x = -11
Solution set: {−11, −1}
Add 36 (half of 12 squared) to both sides: x^2 + 12x + 36 = -11 + 36
(x + 6)^2 = 25
x + 6 = ±5 ⇒ x = -6 ± 5 ⇒ x = -1 or x = -11
Solution set: {−11, −1}
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