What is (3+4i)/(2-5i) ?

The solution to (3+4i)/(2-5i) is -14/29+23/29 i

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

simplify

\frac{3 + 4 i}{2 - 5 i}

- \frac{14}{29} + \frac{23}{29} i

Solution steps

\frac{3 + 4 i}{2 - 5 i}

Multiply by the conjugate

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

= \frac{( 3 + 4 i ) ( 2 + 5 i )}{( 2 - 5 i ) ( 2 + 5 i )}

Simplify

\frac{( 3 + 4 i ) ( 2 + 5 i )}{( 2 - 5 i ) ( 2 + 5 i )} : \frac{- 14 + 23 i}{29}

= \frac{- 14 + 23 i}{29}

Rewrite in standard complex form:

- \frac{14}{29} + \frac{23}{29} i

= - \frac{14}{29} + \frac{23}{29} i

\frac{12}{10}

(5)^{2} + (5)^{2}

(sin (x) - cos (x)) (sin (x) + cos (x))

\frac{( x ^{3} - x ^{2} - 17 x - 15 )}{( x - 5 )}

\frac{1}{2} \cdot 8 \cdot 15