SOLUTION: Solve for x algebraically. Square root of (x+1) + Square root of 2x=Square root of 5x+3

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Question 392655: Solve for x algebraically.
Square root of (x+1) + Square root of 2x=Square root of 5x+3
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x algebraically.
Square root of (x+1) + Square root of 2x=Square root of 5x+3
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sqrt%28x%2B1%29+%2B+sqrt%282x%29+=+sqrt%285x%2B3%29
Square both sides
x%2B1+%2B+2x+%2B+2sqrt%282x%28x%2B1%29%29+=+5x%2B3
2sqrt%282x%5E2%2B2x%29+=+2x+%2B2
Square again
4%282x%5E2%2B2x%29+=+4x%5E2+%2B+8x+%2B+4
8x%5E2+%2B+8x+=+4x%5E2+%2B+8x+%2B+4
4x%5E2+-+4+=+0
x = ± 1