What is (4-9i)/(-6i) ?

The solution to (4-9i)/(-6i) is 3/2+2/3 i

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simplify (4-9i)/(-6i)

simplify

\frac{4 - 9 i}{- 6 i}

\frac{3}{2} + \frac{2}{3} i

Solution steps

\frac{4 - 9 i}{- 6 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 4 - 9 i ) ( - i )}{- 6 i ( - i )}

Simplify

\frac{( 4 - 9 i ) ( - i )}{- 6 i ( - i )} : \frac{- 4 i - 9}{- 6}

= \frac{- 4 i - 9}{- 6}

Rewrite in standard complex form:

\frac{3}{2} + \frac{2}{3} i

= \frac{3}{2} + \frac{2}{3} i

- 1 \cdot 6

(c + d)^{2}

\frac{x ^{2} + 2 x - 63}{x ^{2} + 3 x - 70}

\frac{2}{2} \cdot \frac{3}{2} - \frac{2}{2} \cdot \frac{1}{2}

4 x^{2} + 25 y^{2} - 20 x y