What is (2+3i)/(1-2i) ?

The solution to (2+3i)/(1-2i) is -4/5+7/5 i

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simplify (2+3i)/(1-2i)

simplify

\frac{2 + 3 i}{1 - 2 i}

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

Solution steps

\frac{2 + 3 i}{1 - 2 i}

Multiply by the conjugate

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

= \frac{( 2 + 3 i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )}

Simplify

\frac{( 2 + 3 i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )} : \frac{- 4 + 7 i}{5}

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

Rewrite in standard complex form:

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

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

lo g_{10} (0.7)

\frac{2 x}{x}

\frac{7}{4} - \frac{1}{2}

5 \frac{π}{6}

16 - b^{2}