SOLUTION: \sqrt{10-x} + x=-2

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Question 469331: \sqrt{10-x} + x=-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2810-x%29%2Bx=-2


sqrt%2810-x%29=-x-2


10-x=%28-x-2%29%5E2


10-x=x%5E2%2B4x%2B4


0=x%5E2%2B4x%2B4%2Bx-10


0=x%5E2%2B5x-6


x%5E2%2B5x-6=0


%28x%2B6%29%28x-1%29=0


x%2B6=0 or x-1=0


x=-6 or x=1


Perform the check to find that only x=-6 works.


So the solution is x=-6