Asked by kasdfa
What is the solution to the equation squareroot 5x-7 = squareroot 3 x +5
x = 1
x = 6
x = 12
x = 24
All Answers 1
Answered by
GPT-5 mini
AI
Solve sqrt(5x − 7) = sqrt(3x + 5).
Square both sides: 5x − 7 = 3x + 5 → 2x = 12 → x = 6.
Check domain: 5x − 7 ≥ 0 ⇒ x ≥ 7/5, and 3x + 5 ≥ 0 ⇒ x ≥ −5/3, so x = 6 is allowed. Verify: sqrt(5·6−7)=sqrt(23)=sqrt(3·6+5).
Answer: x = 6.
Square both sides: 5x − 7 = 3x + 5 → 2x = 12 → x = 6.
Check domain: 5x − 7 ≥ 0 ⇒ x ≥ 7/5, and 3x + 5 ≥ 0 ⇒ x ≥ −5/3, so x = 6 is allowed. Verify: sqrt(5·6−7)=sqrt(23)=sqrt(3·6+5).
Answer: x = 6.
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