Find two positive and two negative solutions to the equation x2 ≡ 4 mod 5.

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1 Answer

x²≡4mod5 is the same as x²=5n+4, for any integer n≥0.

Let n=0, then x=±2, and when n=1, x=±3 so the values of x could be -2, -3, 2, 3.

If n=2, x=±√14; n=12, x=±8, etc.

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