What is (-14+18i)/(8-i) ?

The solution to (-14+18i)/(8-i) is -2+2i

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simplify (-14+18i)/(8-i)

simplify

\frac{- 14 + 18 i}{8 - i}

- 2 + 2 i

Solution steps

\frac{- 14 + 18 i}{8 - i}

Multiply by the conjugate

\frac{8 + i}{8 + i}

= \frac{( - 14 + 18 i ) ( 8 + i )}{( 8 - i ) ( 8 + i )}

Simplify

\frac{( - 14 + 18 i ) ( 8 + i )}{( 8 - i ) ( 8 + i )} : \frac{- 130 + 130 i}{65}

= \frac{- 130 + 130 i}{65}

Apply the fraction rule:

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

= \frac{- 130}{65} + \frac{130}{65} i

Simplify

\frac{- 130}{65} + \frac{130}{65} i : - 2 + 2 i

= - 2 + 2 i

(i) (- i)

\frac{7 x + 2}{x - 8} + 5 x

\frac{3 x ^{9}}{( 5 x ^{- 4} ) ^{2}}

- \frac{4}{0}

4 n - (7 - 6 n)