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

The solution to (1+2i)/(3-2i) is -1/13+8/13 i

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

simplify

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

- \frac{1}{13} + \frac{8}{13} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 1 + 2 i ) ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )} : \frac{- 1 + 8 i}{13}

= \frac{- 1 + 8 i}{13}

Rewrite in standard complex form:

- \frac{1}{13} + \frac{8}{13} i

= - \frac{1}{13} + \frac{8}{13} i

\frac{12 160}{2 5}

- 3 (w + 6) + 2 w

45 + 35

\frac{4}{5} \div \frac{4}{5}

∣ (24 - 2) ∣