SOLUTION: √(2x+1)+√(x-3)=2

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Question 1041795: √(2x+1)+√(x-3)=2
Found 3 solutions by stanbon, MathTherapy, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
√(2x+1)+√(x-3)=2
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Square both sides to get:
(2x+1)+(x-3) + 2*sqrt[(2x+1)(x-3)] = 4
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sqrt[2x^2 -5x -3] = -3x+6
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Square both sides again to get:
2x^2-5x-3 = 9x^2 -36x + 36
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7x^2 -31x + 39 = 0
b^2-4ac < 0
So, no Real Number solution.
Cheers,
Stan H.
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Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

√(2x+1)+√(x-3)=2
x = 12,or x = 4, but these are EXTRANEOUS SOLUTIONS so highlight_green%28matrix%281%2C2%2C+NO%2C+SOLUTIONS%29%29

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
sqrt(2x+1) + sqrt(x-3) = 2
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No solution.




Plots y = sqrt%282x%2B1%29+%2B+sqrt%28x-3%29 (red) and y = 2 (green)