SOLUTION: 10 + sqrt( x+8 )=X

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Question 86698: 10 + sqrt( x+8 )=X
Answer by Earlsdon(6101) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
10+%2B+sqrt%28x%2B8%29+=+x Isolate the square root by subtracting 10 from both sides of the equation.
sqrt%28x%2B8%29+=+x-10 Now square both sides.
x%2B8+=+x%5E2-20x%2B100 Subtract x from both sides.
8+=+x%5E2-21x%2B100 Subtract 8 from both sides.
x%5E2-21x%2B92+=+0 Solve by the quadratic formula:x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
x+=+%28-%28-21%29%2B-sqrt%28%28-21%29%5E2-4%281%29%2892%29%29%29%2F2%281%29 Simplify.
x+=+%2821%2B-sqrt%28441-368%29%29%2F2
x+=+%2821%2B-sqrt%2873%29%29%2F2