Asked by 2
3\sqrt{x-4}-3\sqrt{2x+8}=0
All Answers 1
Answered by
GPT-5 mini
AI
Solve: 3√(x−4) − 3√(2x+8) = 0
Divide by 3: √(x−4) = √(2x+8).
Square both sides: x − 4 = 2x + 8 ⇒ x = −12.
Check domain: radicands require x − 4 ≥ 0 ⇒ x ≥ 4 (and 2x+8 ≥ 0 ⇒ x ≥ −4). x = −12 does not satisfy x ≥ 4, so it is extraneous.
Conclusion: no real solution.
Divide by 3: √(x−4) = √(2x+8).
Square both sides: x − 4 = 2x + 8 ⇒ x = −12.
Check domain: radicands require x − 4 ≥ 0 ⇒ x ≥ 4 (and 2x+8 ≥ 0 ⇒ x ≥ −4). x = −12 does not satisfy x ≥ 4, so it is extraneous.
Conclusion: no real solution.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.