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8. Find all solutions to the quadratic congruences, if they exist.
(a) x2 + x + 1 ≡ 0 (mod 7).
(b) x2 ≡ 55 (mod 179)

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This solution is comprised of a detailed explanation to find all solutions to the quadratic congruences, if they exist.

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8. Find all solutions to the quadratic congruences, if they exist.
(a) x2 + x + 1 ≡ 0 (mod 7).
Comparing the polynomial on the left side of the congruence i.e., x2 +x + 1 ...

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