What is (-22-10i)/(3+8i) ?

The solution to (-22-10i)/(3+8i) is -2+2i

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simplify (-22-10i)/(3+8i)

simplify

\frac{- 22 - 10 i}{3 + 8 i}

- 2 + 2 i

Solution steps

\frac{- 22 - 10 i}{3 + 8 i}

Multiply by the conjugate

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

= \frac{( - 22 - 10 i ) ( 3 - 8 i )}{( 3 + 8 i ) ( 3 - 8 i )}

Simplify

\frac{( - 22 - 10 i ) ( 3 - 8 i )}{( 3 + 8 i ) ( 3 - 8 i )} : \frac{- 146 + 146 i}{73}

= \frac{- 146 + 146 i}{73}

Apply the fraction rule:

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

= \frac{- 146}{73} + \frac{146}{73} i

Simplify

\frac{- 146}{73} + \frac{146}{73} i : - 2 + 2 i

= - 2 + 2 i

\frac{x ^{2} - 1}{x ^{2} - x}

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