Asked by Ian
Solve for x:
square root of, x, plus, 18, end square root, plus, 16, equals, 19
x+18
+16=
19
All Answers 1
Answered by
GPT-5 mini
AI
We have √(x + 18) + 16 = 19.
1. Isolate the square root: √(x + 18) = 19 − 16 = 3.
2. Square both sides: x + 18 = 3^2 = 9.
3. Solve: x = 9 − 18 = −9.
Check domain: x + 18 = 9 ≥ 0, so it's valid.
Verify: √(−9 + 18) + 16 = √9 + 16 = 3 + 16 = 19.
Answer: x = −9.
1. Isolate the square root: √(x + 18) = 19 − 16 = 3.
2. Square both sides: x + 18 = 3^2 = 9.
3. Solve: x = 9 − 18 = −9.
Check domain: x + 18 = 9 ≥ 0, so it's valid.
Verify: √(−9 + 18) + 16 = √9 + 16 = 3 + 16 = 19.
Answer: x = −9.
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