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For each of the following quadratic congruences, decide whether or not the equation is solvable. If...

For each of the following quadratic congruences, decide whether or not the equation is solvable. If the equation is solvable, state the number of incongruent solutions. Note that you don’t need to actually find the solutions.

(i) x2 ≡ 47(mod 1260).

(ii) 13x2 ≡ 17(mod 1176).

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