**Find the number of solutions of the equation** .

**Solution.**

Given that . Hence, .

.Hence, we get

(since )

If , we get .

Thus,

Thus, , that is,

for . Therefore, the given equation has five solutions.

Mathematics demystified

July 28, 2015 – 2:10 am

**Find the number of solutions of the equation** .

**Solution.**

Given that . Hence, .

.Hence, we get

(since )

If , we get .

Thus,

Thus, , that is,

for . Therefore, the given equation has five solutions.

February 18, 2015 – 7:07 pm

**Question: **Prove that for any complex number z:

or

**Solution: Suppose by way of contradiction that**

and

Setting with yields .

We obtain

and

and consequently,

and .

Summing these inequalities implies which is a contradiction.

More later,

Nalin Pithwa