Originally Posted by

**sharkman** The product of two integers is -24. If the same two integers are added, the sum is -23. Find the smallest of the two integers.

This is what I did:

x*y = -24......Equation A

x + y = -23...Equation B

I solved Equation B for y and got y = -x - 23.

I plugged the value of y into Equation A for y and solved for x.

x(-x - 23) = -24

-x^2 - 23x = -24

I moved everything to the right side.

0 = x^2 + 23x - 24

My final answer is **-24** but the math book tells me that the answer is **-23.** Can you please explain who is right and why?