Question 663418
sqrt(5x-7) + sqrt(2x+8) +2 = 0 
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sqrt(5x-7) = -[sqrt(2x+8)+2)
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Square both sides:
5x-7 = 2x+8 + 4sqrt(2x+8)+4
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3x-19 = 4sqrt(2x+8)
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Square both sides:
9x^2 - 114x + 361 = 16(2x+8)
9x^2 - 114x + 361 = 32x + 128
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9x^2 -146x + 233 = 0
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Use the Quadratic formula to get:
x = 14.428 
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cheers,
Stan H.