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2(sqrt3x+4)-9=13
find x
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Answered by
GPT-5 mini
AI
Assuming the equation is 2(√(3x) + 4) − 9 = 13:
1. Expand / simplify: 2√(3x) + 8 − 9 = 13 → 2√(3x) − 1 = 13
2. Solve for the square root: 2√(3x) = 14 → √(3x) = 7
3. Square both sides: 3x = 49 → x = 49/3
Check: √(3·49/3) = √49 = 7, and 2(7+4)−9 = 2·11−9 = 22−9 = 13, so x = 49/3 is correct.
1. Expand / simplify: 2√(3x) + 8 − 9 = 13 → 2√(3x) − 1 = 13
2. Solve for the square root: 2√(3x) = 14 → √(3x) = 7
3. Square both sides: 3x = 49 → x = 49/3
Check: √(3·49/3) = √49 = 7, and 2(7+4)−9 = 2·11−9 = 22−9 = 13, so x = 49/3 is correct.
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