SOLUTION: √x+√(x+7)=7

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Question 891420: √x+√(x+7)=7
Found 2 solutions by MathTherapy, josgarithmetic:
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
√x+√(x+7)=7


highlight_green%28x+=+9%29

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Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You want to square this on both sides, TWICE. Some adjustments between the first and second squaring is needed.
First Squaring
sqrt%28x%29%2Bsqrt%28x%2B7%29=7
x%2B2sqrt%28x%29sqrt%28x%2B7%29%2Bx%2B7=49
2sqrt%28x%29sqrt%28x%2B7%29=49-2x-7
2sqrt%28x%29sqrt%28x%2B7%29=42-2x
sqrt%28x%29sqrt%28x%2B7%29=21-x
Second Squaring
x%2A%28x%2B7%29=%2821-x%29%5E2
x%5E2%2B7x=441-42x%2Bx%5E2
7x=441-42x
7x%2B42x=441
49x=441
x=441%2F49
x=%2821%2A21%29%2F%287%2A7%29
highlight%28x=9%29