What is (18-i)/(-3-4i) ?

The solution to (18-i)/(-3-4i) is -2+3i

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simplify (18-i)/(-3-4i)

simplify

\frac{18 - i}{- 3 - 4 i}

- 2 + 3 i

Solution steps

\frac{18 - i}{- 3 - 4 i}

Multiply by the conjugate

\frac{- 3 + 4 i}{- 3 + 4 i}

= \frac{( 18 - i ) ( - 3 + 4 i )}{( - 3 - 4 i ) ( - 3 + 4 i )}

Simplify

\frac{( 18 - i ) ( - 3 + 4 i )}{( - 3 - 4 i ) ( - 3 + 4 i )} : \frac{- 50 + 75 i}{25}

= \frac{- 50 + 75 i}{25}

Apply the fraction rule:

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

= \frac{- 50}{25} + \frac{75}{25} i

Simplify

\frac{- 50}{25} + \frac{75}{25} i : - 2 + 3 i

= - 2 + 3 i

2 x (3 x - 4)

(9 x^{2} - 4 y^{2}) (x^{2} - 25 y^{2})

x^{4} + 4 x^{2} + 16

2 1^{3}

\frac{1}{3}