Question

If z is complex no find | | overline z |^ 2 z overline z |​

Answer 1

Answer:

Let z = x + iy. Then, <br>

<br>

<br> Equating real parts and imaginary parts on both sides of (i) separately, we get <br>

. <br> From (iii), we get <br>

. <br> Case I When y = 0. <br> Putting y = 0 in (ii), we get <br>

. <br>

<br> Thus,

. <br> Case II When

. <br> Putting

in (ii), we get <br>

. <br>

. <br> Thus,

. <br> Hence,

are the required roots of the given equation.