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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7 December, 06:50

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Victor Mccall · Answer 1

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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.