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z(1) "the"z(2) "are two complex numbers...

`z_(1) "the"z_(2) "are two complex numbers such that" |z_(1)| = |z_(2)|`. "and"
arg `(z_(1)) + arg (z_(2) = pi," then show that "z_(1) = - barz_(2).`

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To solve the problem, we need to show that if \( |z_1| = |z_2| \) and \( \arg(z_1) + \arg(z_2) = \pi \), then \( z_1 = -\overline{z_2} \). ### Step-by-Step Solution: 1. **Given Conditions**: We start with the conditions: \[ |z_1| = |z_2| \quad \text{and} \quad \arg(z_1) + \arg(z_2) = \pi \] ...
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