You can put this solution on YOUR website! sqrt(3x+4) - sqrt (2x+4) =2
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sqrt(3x+4) = sqrt(2x+4) + 2
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Square both sides to get:
3x+4 = 2x+4 + 4*sqrt(2x+4) + 4
x - 4 = 4sqrt(2x+4)
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Square both sides:
x^2 - 8x + 16 = 16(2x+4)
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x^2 - 40x - 48 = 0
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x = [40 +- sqrt(1600-4*-48)]/2
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x = [40 +- sqrt(1792)]/2
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x = [20 +- 42.33]/2
x = 61.33/2 or x = -22.33/2
Positive solution:
x = 30.67
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Check to see if that solution is extraneous.
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Cheers,
Stan H.
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