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

 Apr 5, 2022
 #1
avatar+306 
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I Belive there are no integer solutions, When solving I only came up with complex solutions.

 Apr 5, 2022
 #2
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There are only two values of a that work: 0 and -4.  That gives us two solutions.

 Apr 5, 2022
 #3
avatar+306 
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Can you explain how you got to that solution? I didnt see a way to get integer solutions

Elijah  Apr 5, 2022
 #4
avatar+36417 
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What about x =  - 18 ?    x = - 49 ?      ( found graphically)

 Apr 5, 2022
edited by ElectricPavlov  Apr 5, 2022
 #5
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Thanks, the answer was 8.

 Apr 5, 2022

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