simplify (-9)/(8-i)

Solution

simplify

\frac{- 9}{8 - i}

- \frac{72}{65} - \frac{9}{65} i

Solution steps

\frac{- 9}{8 - i}

Multiply by the conjugate

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

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

Simplify

\frac{- 9 ( 8 + i )}{( 8 - i ) ( 8 + i )} : \frac{- 72 - 9 i}{65}

= \frac{- 72 - 9 i}{65}

Apply the fraction rule:

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

= \frac{- 72}{65} + \frac{- 9}{65} i

Simplify

\frac{- 72}{65} + \frac{- 9}{65} i : - \frac{72}{65} - \frac{9}{65} i

= - \frac{72}{65} - \frac{9}{65} i

36 f^{2} + 84 f + 49

6 n + n = 0

2 x - \frac{5 x - 6}{4} + \frac{1}{3} (x - 5) = - 5 x

(3 b - 2) (4 b^{2} + 8 b + 7)

- 6 x^{2} - x + 7