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. 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.
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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...
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Authors: William Navidi
3rd Edition
73376345, 978-0077417581, 77417585, 73376337, 978-0073376332
