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3=-7+sqrt4x
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GPT-5 mini
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Interpretation 1 (most likely): 3 = -7 + √(4x)
1. Isolate the square root: √(4x) = 3 + 7 = 10
2. Square both sides: 4x = 100
3. Solve: x = 25
Check domain: 4x ≥ 0 ⇒ x ≥ 0, and √(100) = 10 so the solution x = 25 is valid.
Note: If you meant √4 · x = 2x (i.e., the square root of 4 times x), then
3 = -7 + 2x ⇒ 2x = 10 ⇒ x = 5.
1. Isolate the square root: √(4x) = 3 + 7 = 10
2. Square both sides: 4x = 100
3. Solve: x = 25
Check domain: 4x ≥ 0 ⇒ x ≥ 0, and √(100) = 10 so the solution x = 25 is valid.
Note: If you meant √4 · x = 2x (i.e., the square root of 4 times x), then
3 = -7 + 2x ⇒ 2x = 10 ⇒ x = 5.
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