For how many integer values of a does the equation x^2 + ax + 6a = 0 have inetger solutions for x?
+605 The discriminant must be a perfect square: \(a^2-24a=k^2\rightarrow a(a-24)=k^2\). From here it is casework: https://www.wolframalpha.com/input/?i=solve+a%28a-24%29%3Dk%5E2+over+the+integers
