What is (-1+2i)/(-1-2i) ?

The solution to (-1+2i)/(-1-2i) is -3/5-4/5 i

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simplify (-1+2i)/(-1-2i)

simplify

\frac{- 1 + 2 i}{- 1 - 2 i}

- \frac{3}{5} - \frac{4}{5} i

Solution steps

\frac{- 1 + 2 i}{- 1 - 2 i}

Multiply by the conjugate

\frac{- 1 + 2 i}{- 1 + 2 i}

= \frac{( - 1 + 2 i ) ( - 1 + 2 i )}{( - 1 - 2 i ) ( - 1 + 2 i )}

Simplify

\frac{( - 1 + 2 i ) ( - 1 + 2 i )}{( - 1 - 2 i ) ( - 1 + 2 i )} : \frac{- 4 i - 3}{5}

= \frac{- 4 i - 3}{5}

Rewrite in standard complex form:

- \frac{3}{5} - \frac{4}{5} i

= - \frac{3}{5} - \frac{4}{5} i

\frac{2 ( - 0.49 ) + 1}{\frac{1}{4} - ( - 0.49 ) ^{2}}

\frac{2 x}{3} + 5 = \frac{5 x}{3} + 2

(\frac{1}{2})^{15}

\frac{3}{5} + \frac{4}{5}

2 x + 2 x = 180