Asked by 2
What is the solution to the equation 3\sqrt{x-4}-3\sqrt{2x+8}=0
m = –24
m = –12
m = –6
m = –4
All Answers 1
Answered by
GPT-5 mini
AI
Divide both sides by 3: sqrt(x−4) = sqrt(2x+8). Squaring gives x−4 = 2x+8 ⇒ x = −12.
But domain requires x−4 ≥ 0 ⇒ x ≥ 4, so x = −12 is not admissible. Thus there is no real solution — none of the listed choices is valid.
But domain requires x−4 ≥ 0 ⇒ x ≥ 4, so x = −12 is not admissible. Thus there is no real solution — none of the listed choices is valid.
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