SOLUTION: 1. Solve for x a) √(x+1) + √(2x-5) = 3 Can you please help me out? Thanks so much in advance:) Can you please show the steps it would really help me understand:)

Algebra ->  Equations -> SOLUTION: 1. Solve for x a) √(x+1) + √(2x-5) = 3 Can you please help me out? Thanks so much in advance:) Can you please show the steps it would really help me understand:)      Log On


   

Question 752513: 1. Solve for x
a) √(x+1) + √(2x-5) = 3
Can you please help me out? Thanks so much in advance:)
Can you please show the steps it would really help me understand:)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
√(x+1) + √(2x-5) = 3
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Square both sides to get:
(x+1) + (2x-5) + 2*sqrt[(x+1)(2x-5)] = 9
--------
2sqrt[2x^2 -3x -5] = 13 - 3x
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Square both sides again:
4[2x^2-3x-5] = 169-78x+9x^2
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8x^2 - 12x -20 = 169 - 78x + 9x^2
x^2 - 66x +189 = 0
----
(x-3)(x+63) = 0
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Positive solution:
x = 3
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Check the answer in the original equation.
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Cheers,
Stan H.
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