Tuesday, 13 August 2013

Find all congruence solutions using Hensel's Lemma

Find all congruence solutions using Hensel's Lemma

I have to find all the solutions to the congruence $x^2 = -6(\text{mod}\,
625)$ using Hensel's lemma and I find it quite difficult. If anyone could
point me to the solution I'll be grateful, thanks in advance.

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