SOLUTION: the sum of a number and its square is 110. What is the number? thanks

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Question 357240: the sum of a number and its square is 110. What is the number?
thanks
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!
This should be fairly straightforward. Let x be the number, thus we are given

x%2Bx%5E2=110

x%5E2%2Bx=110

x%5E2%2Bx-110=0

%28x%2B11%29%28x-10%29=0

x%2B11=0 and x-10=0

x=-11 and x=10

There are two solutions, 10 and -11. To check this,

10%2B10%5E2=110 yes

%28-11%29%2B%28-11%29%5E2=110 yes

I hope this helps!