What is (-9+8i)/(-3+9i) ?

The solution to (-9+8i)/(-3+9i) is 11/10+19/30 i

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simplify (-9+8i)/(-3+9i)

simplify

\frac{- 9 + 8 i}{- 3 + 9 i}

\frac{11}{10} + \frac{19}{30} i

Solution steps

\frac{- 9 + 8 i}{- 3 + 9 i}

Multiply by the conjugate

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

= \frac{( - 9 + 8 i ) ( - 3 - 9 i )}{( - 3 + 9 i ) ( - 3 - 9 i )}

Simplify

\frac{( - 9 + 8 i ) ( - 3 - 9 i )}{( - 3 + 9 i ) ( - 3 - 9 i )} : \frac{99 + 57 i}{90}

= \frac{99 + 57 i}{90}

Apply the fraction rule:

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

= \frac{99}{90} + \frac{57}{90} i

Simplify

\frac{99}{90} + \frac{57}{90} i : \frac{11}{10} + \frac{19}{30} i

= \frac{11}{10} + \frac{19}{30} i

\frac{3 x ^{2} - 9 x}{x ^{2} - 9}

2 x + 7 x + x - 8 x

lo g_{20} (1)

4 x + 3 x

- 9 - 7