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

The solution to (3+2i)/(2-5i) is -4/29+19/29 i

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

simplify

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

- \frac{4}{29} + \frac{19}{29} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 3 + 2 i ) ( 2 + 5 i )}{( 2 - 5 i ) ( 2 + 5 i )} : \frac{- 4 + 19 i}{29}

= \frac{- 4 + 19 i}{29}

Rewrite in standard complex form:

- \frac{4}{29} + \frac{19}{29} i

= - \frac{4}{29} + \frac{19}{29} i

14 x^{2} y^{4} - 7 x^{5} y^{3}

f (x) sin (x)

\frac{( 3 y ^{5} ) ^{3}}{3 y ^{3}}

13 - (13 - 2 x)

- 2 (x + 3) + 4 (x + y - 2) + (- y)