The quadratic equation x^2-3x+2=0 has the "correct" number of solutions modulo 5 and 7. However, modulo 6 the equation has four solutions; namely, 1, 2, 4, and 5. For what positive integers n does the equation x^2-3x+2=0 have exactly two incongruent solutions modulo n?
(In reply to
re(3): Proof by McWorter)
I can't tell what I don't know! I can say that the case of
separation by 2 doesn't just fall out by multiplying the coprime
relation by 2, however, because 2ac can be a multiple of ab.
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Posted by Richard
on 2005-09-04 01:04:08 |
re(4): Proof
