You can put this solution on YOUR website! Solve: square root(3x+1)=1-square root(x+4)
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Square both sides:
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3x+1 = 1 - 2sqrt(x+4) + x+4
2x-4 = -2sqrt(x+4)
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x-2 = -sqrt(x+4)
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Square both sides again:
x^2 - 4x + 4 = x + 4
x^2 - 5x = 0
x(x-5) = 0
x = 0 or x = 5
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Check the answers in the original equation:
sqrt(3x+1) = 1-sqrt(x+4)
checking x = 0: sqrt(1) = 1 - sqrt(4) ------- Wrong
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checking x = 5: sqrt(16) = 1 - sqrt(9)-------Wrong
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Conclusion: No solution
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Cheers,
Stan H.
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