SOLUTION: The sum of an integer and its square is 12. Find the integer.

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Question 79073: The sum of an integer and its square is 12. Find the integer.
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=the integer
Now we are told that x%2Bx%5E2=12 subtract 12 from both sides

x%5E2%2Bx-12=0 quadratic in standard form and it can be factored. The factors are:
%28x%2B4%29%28x-3%29=0
Remember, when the A coefficient of a quadratic is 1, then the B coefficient will be the sum of the factors of the C coefficient, if the quadratic is factorable.
x=-4-----------------------one answer
and
x=3---------------------------another answer
CK
-4+(-4)^2=12
-4+16=12
12=12
Now for 3
3+(3)^2=12
3+9=12
12=12
Hope this helps---ptaylor