What is (26+39i)/(2-3i) ?

The solution to (26+39i)/(2-3i) is -5+12i

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simplify (26+39i)/(2-3i)

simplify

\frac{26 + 39 i}{2 - 3 i}

- 5 + 12 i

Solution steps

\frac{26 + 39 i}{2 - 3 i}

Multiply by the conjugate

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

= \frac{( 26 + 39 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )}

Simplify

\frac{( 26 + 39 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )} : \frac{- 65 + 156 i}{13}

= \frac{- 65 + 156 i}{13}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 65}{13} + \frac{156}{13} i

Simplify

\frac{- 65}{13} + \frac{156}{13} i : - 5 + 12 i

= - 5 + 12 i

16 - - 36 - 25 + - 16

\frac{4 x ^{3}}{2 x ^{2}}

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

\frac{3 ( q ^{5} ) ^{4}}{5 q ^{4}}

- 4 + \frac{1}{4}