Division via Conjugate (z₁/z₂ = (z₁ z̄₂)/|z₂|²)
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z₁/z₂ = (z₁ z̄₂)/|z₂|²
What each symbol means
| Symbol | What it stands for |
|---|---|
| z̄_2 | Conjugate of denominator — multiply top and bottom by z̄₂ |
| z_1, z_2 | Complex numbers with z₂ ≠ 0 |
When to use this
z₂ ≠ 0. Denominator becomes real |z₂|²; numerator expanded as usual.