SOLUTION: Please help solve this equation: the square root of x squared plus 7 minus x equals 7. Thanks!

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Question 506680: Please help solve this equation: the square root of x squared plus 7 minus x equals 7.
Thanks!
Found 2 solutions by jennywecas, MathTherapy:
Answer by jennywecas(28) About Me  (Show Source):
You can put this solution on YOUR website!
well the square root of x squared= x bc they cancel each other out.so
x+7-x=7
the x cancel out so x is infinante solutions

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Please help solve this equation: the square root of x squared plus 7 minus x equals 7.
Thanks!

sqrt%28x%5E2+%2B+7%29+-+x+=+7

sqrt%28x%5E2+%2B+7%29+=+x+%2B+7 -------- Adding x to both sides of equation

sqrt%28x%5E2+%2B+7%29%5E2+=+%28x+%2B+7%29%5E2 --------- Squaring both sides of equation

x%5E2+%2B+7+=+x%5E2+%2B+14x+%2B+49

x%5E2+-+x%5E2+-+14x+=+49+-+7

- 14x = 42

x = 42%2F%28-14%29, or highlight_green%28-3%29


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Check
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sqrt%28x%5E2+%2B+7%29+-+x+=+7

sqrt%28%28-3%29%5E2+%2B+7%29+-+%28-3%29+=+7

sqrt%289+%2B+7%29+%2B+3+=+7

sqrt%2816%29+%2B+3+=+7

4 + 3 = 7 (TRUE)

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