please answer question #5 and show steps
5. Solving Quadratics (mod p). Use #1 (a) above and the quadratic formula (mod p) to find a pair of solutions (if possible) for each of the following quadratic equations (1), 2r2 +3 -4- (mod 7) (ii), 3r2-2r +1 0 (mod 19) (ii). 3z2 2r -0 (mod 23) 1. Euler’s Criterion. (a). Use Euler’s Criterion to the Legendre symbols below: (iv). (10/23) (b). Assume a is a quadratic residue mod p, and assume that p3 (mod 4). Use Euler’s Criterion to show that a(mod p), wherea+
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