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

(1 + \frac{0.06}{4})^{4}

\frac{1}{2 + 3}

200 x - x^{2} = 5 x + 6200

6 x^{2} y^{5} + 15 x y^{7}

54 n^{3} + 117 n^{2} - 45 n