What is 1/2-(3-4i)/(5-8i) ?

The solution to 1/2-(3-4i)/(5-8i) is -5/178-4/89 i

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simplify 1/2-(3-4i)/(5-8i)

simplify

\frac{1}{2} - \frac{3 - 4 i}{5 - 8 i}

- \frac{5}{178} - \frac{4}{89} i

Solution steps

\frac{1}{2} - \frac{3 - 4 i}{5 - 8 i}

Simplify

\frac{3 - 4 i}{5 - 8 i} : \frac{47 + 4 i}{89}

= \frac{1}{2} - \frac{47 + 4 i}{89}

Join

\frac{1}{2} - \frac{47 + 4 i}{89} : \frac{- 5 - 8 i}{178}

= \frac{- 5 - 8 i}{178}

Apply the fraction rule:

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

= \frac{- 5}{178} + \frac{- 8}{178} i

Simplify

\frac{- 5}{178} + \frac{- 8}{178} i : - \frac{5}{178} - \frac{4}{89} i

= - \frac{5}{178} - \frac{4}{89} i

- 2 + 16

\frac{225 x ^{3}}{49 x}

(2 a^{2} - a + 5)^{2}

6 \frac{1}{6}

\frac{3}{2} + \frac{7}{2}