Solve the equation, `z^(2) = bar(z)`, where z is a complex number.

Explanation

To solve the equation \( z^2 = \bar{z} \), where \( z \) is a complex number, we can follow these steps:

### Step 1: Express \( z \) in terms of real and imaginary parts
Let \( z = x + iy \), where \( x \) is the real part and \( y \) is the imaginary part of the complex number \( z \). The conjugate of \( z \) is given by:
\[ \bar{z} = x - iy \]

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