List all solutions to the equation x^{2}-1 = 0 in the ring Z_{34}, and prove that your

list is complete.

I know that 1 and 33 are roots, but I don't see any other. I can I prove that my list is complete?

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- Apr 21st 2013, 10:49 AMchristianwosZeros of a polynomial in a ring.
List all solutions to the equation x

^{2}-1 = 0 in the ring Z_{34}, and prove that your

list is complete.

I know that 1 and 33 are roots, but I don't see any other. I can I prove that my list is complete? - Jun 25th 2013, 03:28 AMbrosnan123Re: Zeros of a polynomial in a ring.
You are correct the list is given by you the full list ,

equation x^2 - 1 = 0 in the ring z34 is 1 and 33. There is no other answer for this.

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