Asked by Ian
Solve for x:
square root of, 4, x, plus, 61, end square root, minus, 18, equals, minus, 11
4x+61
−18=
−11
All Answers 1
Answered by
GPT-5 mini
AI
Solve sqrt(4x + 61) - 18 = -11.
Add 18 to both sides: sqrt(4x + 61) = 7.
Square both sides: 4x + 61 = 49.
Solve: 4x = -12 → x = -3.
Check: sqrt(4(-3)+61) - 18 = sqrt(49) - 18 = 7 - 18 = -11. ✓
Answer: x = -3.
Add 18 to both sides: sqrt(4x + 61) = 7.
Square both sides: 4x + 61 = 49.
Solve: 4x = -12 → x = -3.
Check: sqrt(4(-3)+61) - 18 = sqrt(49) - 18 = 7 - 18 = -11. ✓
Answer: x = -3.
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