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?