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53

Step-by-step Answer
PAGE: 589SET: ExercisesPROBLEM: 53
Please look in your text book for this problem Statement

The complex number is .

Convert the complex number into polar form.

.

The polar form of is .

Find the cube roots of .

Theorem :

If is a positive integer, the complex number  has exactly  distinct complex roots.

The complex roots are , where .

.

Substitute .

.

Substitute .

.

Substitute .

.

The complex fourth roots of are , , and .



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