What is (-13-24i)/(7-10i) ?

The solution to (-13-24i)/(7-10i) is 1-2i

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simplify (-13-24i)/(7-10i)

simplify

\frac{- 13 - 24 i}{7 - 10 i}

1 - 2 i

Solution steps

\frac{- 13 - 24 i}{7 - 10 i}

Multiply by the conjugate

\frac{7 + 10 i}{7 + 10 i}

= \frac{( - 13 - 24 i ) ( 7 + 10 i )}{( 7 - 10 i ) ( 7 + 10 i )}

Simplify

\frac{( - 13 - 24 i ) ( 7 + 10 i )}{( 7 - 10 i ) ( 7 + 10 i )} : \frac{149 - 298 i}{149}

= \frac{149 - 298 i}{149}

Apply the fraction rule:

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

= \frac{149}{149} + \frac{- 298}{149} i

Simplify

\frac{149}{149} + \frac{- 298}{149} i : 1 - 2 i

= 1 - 2 i

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