2 its from
U want the answer of question number 1 2 its from
complex analysis subject
Solve the following:
1-Sketch the following regions:
a- |z – 4| 2 |zl
2-If |z| = 3 ,prove that:
3-Solve the equation:|z| + z = 1 +1.
4-Let a, b be real constants ,n is a positive integer.
Prove that: all roots of the equation:
quot; = a + ib are real iff a? + b2 = 1 .
5- Let z, w be complex numbers, zw # 1,
|z| $ 1, |w| $ 1, show that: