Problem C. (a) Find all solutions x = Z to the quadratic congruence x² = −1(mod 5). (b) Which of the quadratic congruences below have¹ solutions? Explain. (1) x2 = -1(mod 101) (2) x2 = -1(mod 103) (3) x²+2x+2 = 0 (mod 89) (c) Compute the Legendre symbol (3) for p = 5,7,11.