You can put this solution on YOUR website! sqrt( 3x + 7 ) + sqrt( x + 2 ) = 1
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Square both sides to get:
(3x+7) +2sqrt[3x^2 + 13x + 14] + x+2 = 1
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2sqrt[3x^2 + 13x + 14] = -(4x+8)
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Square both sides to get:
4(3x^2+13x+14) = 16x^2 + 64x + 64
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12x^2 + 52x + 56 = 16x^2 + 64x + 64
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4x^2 +12x + 8 = 0
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x^2 + 3x + 2 = 0
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Factor::
(x+2)(x+1) = 0
x = -1 or x = -2
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Check those answers in the original equation
to see if either or both are extraneous.
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Cheers,
Stan H.
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