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

The solution to (5+3i)/(3-2i) is 9/13+19/13 i

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

simplify

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

\frac{9}{13} + \frac{19}{13} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 5 + 3 i ) ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )} : \frac{9 + 19 i}{13}

= \frac{9 + 19 i}{13}

Rewrite in standard complex form:

\frac{9}{13} + \frac{19}{13} i

= \frac{9}{13} + \frac{19}{13} i

- 2 (x - 1)^{2}

2 \frac{1}{2} + 3 \frac{1}{4}

(- 1 - 4 i) (11 + 6 i)

(4)^{- 1}

(2 a)^{2} - 1