What is (4-6i)/(-2-4i) ?

The solution to (4-6i)/(-2-4i) is 4/5+7/5 i

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simplify (4-6i)/(-2-4i)

simplify

\frac{4 - 6 i}{- 2 - 4 i}

\frac{4}{5} + \frac{7}{5} i

Solution steps

\frac{4 - 6 i}{- 2 - 4 i}

Multiply by the conjugate

\frac{- 2 + 4 i}{- 2 + 4 i}

= \frac{( 4 - 6 i ) ( - 2 + 4 i )}{( - 2 - 4 i ) ( - 2 + 4 i )}

Simplify

\frac{( 4 - 6 i ) ( - 2 + 4 i )}{( - 2 - 4 i ) ( - 2 + 4 i )} : \frac{16 + 28 i}{20}

= \frac{16 + 28 i}{20}

Apply the fraction rule:

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

= \frac{16}{20} + \frac{28}{20} i

Simplify

\frac{16}{20} + \frac{28}{20} i : \frac{4}{5} + \frac{7}{5} i

= \frac{4}{5} + \frac{7}{5} i

- x \cdot (- 1)

\frac{40}{35}

(4 x)^{2}

(\frac{5}{36})^{4}

3 lo g_{3} (18)