1. Find the modulus and argument of (1 + i)^6. 2. Find the roots of the equation...

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1. Find the modulus and argument of (1 + i)^6.

2. Find the roots of the equation z^3 - 2z^2 + (2 + 2i)z - (1 + 3i) = 0.

3. Find the complex number w such that w^4 = (1 + i)^4 and w has a negative real part.

4. Find all values of z such that |z - 2i| = 3.

5. If z = a + bi and w = 3 - 4i, find the values of a and b that satisfy the equation zw + 5 = 0.

Related Book For answer-question

Statistics For Engineers And Scientists

ISBN: 9780073376332

3rd Edition

Authors: William Navidi

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Posted Date: Mar 22, 2023 06:29 AM

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1. Find the modulus and argument of (1 + i)^6. 2. Find the roots of the equation...

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Expert Answer:

The detailed answer for the above question is provided below 1 Let z 1 i Then 1 i6 z6 z23 1 2i i23 1 2i 13 83 So the modulus of 1 i6 is 83 512 The arg... View the full answer

Statistics For Engineers And Scientists

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