What is (4+2i)/(2-3i) ?

The solution to (4+2i)/(2-3i) is 2/13+16/13 i

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simplify (4+2i)/(2-3i)

simplify

\frac{4 + 2 i}{2 - 3 i}

\frac{2}{13} + \frac{16}{13} i

Solution steps

\frac{4 + 2 i}{2 - 3 i}

Multiply by the conjugate

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

= \frac{( 4 + 2 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )}

Simplify

\frac{( 4 + 2 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )} : \frac{2 + 16 i}{13}

= \frac{2 + 16 i}{13}

Rewrite in standard complex form:

\frac{2}{13} + \frac{16}{13} i

= \frac{2}{13} + \frac{16}{13} i

(2 x + 3)^{2} - 2 (2 x + 3) + 2

(3 x yz)^{0}

49 - 7

3 a + a

0.2 5^{- 1}