Find in the form of red, the six complex numbers which satisfy the equation 2° +32+32( V3 )i = Hence show that the values of w satisfying the equation (w-1) = [-32(J3)i–32](w+1)* k 1 where a = 3 9 3 have real parts given by T and 4 cosa - 5 k = 0, 1, 2, 3, 4, 5.

Q: This is question of Complex Analysis.

A: I am providing the solution of (ii) only as follows below :

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Q: Hi, there are two questions a) and b) attached  Thanks so Much!!!!

A: Consider the given equation.

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A: The solution is as follows below :

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A: This is a problem of complex analysis.

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A: Introduction :

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A: So,

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A: Answer is following .

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A: See solution below

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Q: 2) The complex conjugate of z is denoted as z. Solve for z in the equation: z – 12 = j(9 – 2z) %3D…

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A: Here we find locus of z

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A: It is given that

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A: z = √2(cosπ/4 + i sinπ/4)  z = √2(1/√2 +i/√2 )  z = (1+i)  z* = 1-i