f4 maths 緊急!!!

2012-10-24 6:33 am
if the roots of x^2+ax+12=0 are integers, what are the possible values of a?

thanks :-*

回答 (1)

2012-10-24 6:37 am
✔ 最佳答案
Let the roots are α and β

Then αβ = 12. As α and β are integers, they are the factors of 12

So, pairs of α and β are

(-1,-12), (-2,-6), (-3,-4), (1,12), (2,6), (3,4)

Also, a = α + β

So, possible values of a are -13, -8, -7, 7, 8, 13





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