The equation x^2 - kx - 12 = 0 has only integer solutions for certain positive integers k. What is the sum of all such values of k?
x^2 - kx - 12
The sum of the possibile solutions = k
So.....the possibilities are
Solutions k
-1 12 11
1 -12 -11
-4 3 -1
4 -3 1
6 -2 4
-6 2 -4
So.....the sum of the k's = 0
1+4+11=15
Thanks, Omi....I missed the "positive integer" part !!!