SOLUTION: please help me solve this equation 3√(x-2)-2√(x-5)=4
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Question 717181: please help me solve this equation 3√(x-2)-2√(x-5)=4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve this equation 3√(x-2)-2√(x-5)=4
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Rearrange:
3*sqrt)(x-2) = 2sqrt(x-5) + 4
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Sqruare both sides:
9(x-2) = 4(x-5) + 16sqrt(x-5) + 16
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9x-18 = 4x-20 + 16sqrt(x-5) + 16
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Rearrange:
5x-14 = 16sqrt(x-5)
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25x^2 -140x + 196 = 256(x-5)
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25x^2 -140x + 196 = 256x - 1280
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25x^2 -396x + 1476 = 0
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x = 6 or x = 9.84
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Check those answers to see if either is extraneous.
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Cheers,
Stan H.
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