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For how many integer values of a does the equation x^2 + ax + 8a = 0 have integer solutions for x?

 Jul 10, 2018
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x^2 + ax + 8a =0

For how many integer values of a does the equation x^2 + ax + 8a = 0 have integer solutions for x?

 

14

Here are some,   [ These answers are supplied by WolframAlpha. ]

http://www.wolframalpha.com/input/?i=x%5E2+%2B+ax+%2B+8a+%3D+0++a+is+an+integer

 

 

 Jul 12, 2018

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