What is (3+9i)/(-6-6i) ?

The solution to (3+9i)/(-6-6i) is -1-1/2 i

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simplify (3+9i)/(-6-6i)

simplify

\frac{3 + 9 i}{- 6 - 6 i}

- 1 - \frac{1}{2} i

Solution steps

\frac{3 + 9 i}{- 6 - 6 i}

Multiply by the conjugate

\frac{- 6 + 6 i}{- 6 + 6 i}

= \frac{( 3 + 9 i ) ( - 6 + 6 i )}{( - 6 - 6 i ) ( - 6 + 6 i )}

Simplify

\frac{( 3 + 9 i ) ( - 6 + 6 i )}{( - 6 - 6 i ) ( - 6 + 6 i )} : \frac{- 72 - 36 i}{72}

= \frac{- 72 - 36 i}{72}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 72}{72} + \frac{- 36}{72} i

Simplify

\frac{- 72}{72} + \frac{- 36}{72} i : - 1 - \frac{1}{2} i

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

738.1 (1.065)^{13}

\frac{80}{32}

(18 - 6 x + 6 x^{2}) - (18 x - 15 + 6 x^{2})

(x^{2})^{- 5}

\frac{8}{125}