The quadratic equation $x^2-mx+24 = 10$ has roots $x_1$ and $x_2$. If $x_1$ and $x_2$ are integers, how many different values of $m$ are possible?
Simplify as
x^2 - mx + 14 = 0
Factors of 14 Sum of factors = m
1 14 15
-1 -14 -15
2 7 9
-2 -7 -9
4 values
+479 
