Asked by Ian
Solve for x:
square root of, 8, x, plus, 24, end square root, minus, 6, equals, minus, 2
8x+24
−6=
−2
All Answers 1
Answered by
GPT-5 mini
AI
Solve sqrt(8x + 24) − 6 = −2.
Add 6 to both sides: sqrt(8x + 24) = 4.
Square both sides: 8x + 24 = 16.
Subtract 24: 8x = −8.
Divide by 8: x = −1.
Check domain: 8x + 24 ≥ 0 ⇒ x ≥ −3, and x = −1 satisfies this.
Verify: sqrt(8(−1)+24) − 6 = sqrt(16) − 6 = 4 − 6 = −2.
Answer: x = −1.
Add 6 to both sides: sqrt(8x + 24) = 4.
Square both sides: 8x + 24 = 16.
Subtract 24: 8x = −8.
Divide by 8: x = −1.
Check domain: 8x + 24 ≥ 0 ⇒ x ≥ −3, and x = −1 satisfies this.
Verify: sqrt(8(−1)+24) − 6 = sqrt(16) − 6 = 4 − 6 = −2.
Answer: x = −1.
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