(1) Consider the equation 2.x +1 = 0 mod n. For which n are there no solutions? one solution? multiple solutions?

Advanced Engineering Mathematics
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(1) Consider the equation 2x +1 = 0 mod n. For which n are there no
solutions? one solution? multiple solutions?
(2) For n = 10 and n = 12 determine which elements mod n have
reciprocals. Do you see any pattern? Can you prove it holds for
other n?
Transcribed Image Text:(1) Consider the equation 2x +1 = 0 mod n. For which n are there no solutions? one solution? multiple solutions? (2) For n = 10 and n = 12 determine which elements mod n have reciprocals. Do you see any pattern? Can you prove it holds for other n?
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