Find the fourth roots of unity by using the method stated.
a. Solve the polynomial equation x^4 = 1 algebraically.
b. Use the polar form z^4 = r (cos (theta) + sin (theta)), and find the modulus and argument of z.
c. Solve (a + bi) ^4 = 1 by expanding (a + b) ^4 and setting it equal to 1 + 0i.
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