SOLUTION: solve: [the square root of (x-3)] +5=x

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Question 677433: solve:
[the square root of (x-3)] +5=x
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x-3%29+%2B+5+=+x
...
sqrt%28x-3%29+=+x-5
...
sqrt%28x-3%29%5E2+=+%28x-5%29%5E2
...
x-3 = x%5E2+-+10x+%2B+25
0 = x%5E2+-+10x+%2B+25+-x+%2B+3
0 = x%5E2+-+11x+%2B+28
0 = (x-4)(x-7)
...
x-4=0, so highlight_green%28x=4%29
AND
x-7=0, so highlight_green%28x=7%29
.....................
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