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

The solution to (3+2i)/(5-2i) is 11/29+16/29 i

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

simplify

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

\frac{11}{29} + \frac{16}{29} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 3 + 2 i ) ( 5 + 2 i )}{( 5 - 2 i ) ( 5 + 2 i )} : \frac{11 + 16 i}{29}

= \frac{11 + 16 i}{29}

Rewrite in standard complex form:

\frac{11}{29} + \frac{16}{29} i

= \frac{11}{29} + \frac{16}{29} i

x^{5} \times x^{2}

(4 x^{2}) (x^{2} - 3 x - 5)

42 + 38

\frac{2}{5} \times 60

5 c f r a c^{7} B d^{7} d^{7} B d y^{7} d