microsoft/qdk
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katas/content/complex_arithmetic/complex_division/solution.md
7lines · modecode
| 1 | |
| 2 | $$\frac{x}{y} = \frac{x}{y} \cdot 1 = \frac{x}{y} \cdot \frac{\overline{y}}{\overline{y}} = |
| 3 | \frac{x\overline{y}}{y\overline{y}} = \frac{(a + bi)(c - di)}{(c + di)(c - di)} =$$ |
| 4 | $$= \frac{a \cdot c + bi \cdot c - a \cdot di - bi \cdot di}{c \cdot c + di \cdot c - c \cdot di - di \cdot di} = |
| 5 | \frac{(a \cdot c + b \cdot d) + (a \cdot (-d) + c \cdot b)i}{c^2 + d^2}$$ |
| 6 | |
| 7 | @[solution]({"id": "complex_arithmetic__complex_division_solution", "codePath": "Solution.qs"}) |
| 8 | |