Integer values of k giving integer roots
Integer values of k giving integer roots
IP 3
7 marks
The equation \(x^2-kx+2k=0\), where \(k\) is an integer, has integer roots \(\alpha\) and \(\beta\).
- Show that \((\alpha-2)(\beta-2)=4\).[3]
- Hence find all the possible values of \(k\), showing that no other value is possible.[4]
Solution:
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Answer:(b) \(k=-1,\ 0,\ 8,\ 9\)
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