Only the answer for part (b) and (c) with steps please. Thanks!

2. (a) (4 points) Carefully show that there exist exactly two analytic func- tions fi(z) and f2(z) on D = C \\ [-1, 1] such that the equation w2 + zw+ 22 - 3/4 =0 has the solutions w = fi(z) and w = f2(z). Question 2 continues on the next page. . . Student ID: (b) (3 points) Evaluate the residues of fi(z) and f2(z) at z = 00.Student ID: (c) (3 points) Let I be the circle of center zero and radius 2. Evaluate f1(2) dz, f2 (2) dz. 22 T 22 Hint: Part (b) may be useful