How do you divide (2+5i)/(-i)?

Dec 26, 2016

$2 i - 5$

Explanation:

You can multiply the terms of the fraction by i and get:

$\frac{\left(2 + 5 i\right) i}{- i \cdot i} = \frac{2 i + 5 {i}^{2}}{- {i}^{2}}$

and, since ${i}^{2} = - 1$:

$\frac{2 i - 5}{1} = 2 i - 5$