What is (3+6i)/(2-5i) ?

The solution to (3+6i)/(2-5i) is -24/29+27/29 i

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simplify (3+6i)/(2-5i)

simplify

\frac{3 + 6 i}{2 - 5 i}

- \frac{24}{29} + \frac{27}{29} i

Solution steps

\frac{3 + 6 i}{2 - 5 i}

Multiply by the conjugate

\frac{2 + 5 i}{2 + 5 i}

= \frac{( 3 + 6 i ) ( 2 + 5 i )}{( 2 - 5 i ) ( 2 + 5 i )}

Simplify

\frac{( 3 + 6 i ) ( 2 + 5 i )}{( 2 - 5 i ) ( 2 + 5 i )} : \frac{- 24 + 27 i}{29}

= \frac{- 24 + 27 i}{29}

Rewrite in standard complex form:

- \frac{24}{29} + \frac{27}{29} i

= - \frac{24}{29} + \frac{27}{29} i

0 = \frac{2}{5} x - 2

(1 + 5^{2}) - 16 (\frac{1}{2})^{3}

(1 + \frac{0.06}{12})^{24}

8 x > - 16

(4 i + 3) (5 - 2 i)