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

The solution to (4+2i)/(3-5i) is 1/17+13/17 i

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

simplify

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

\frac{1}{17} + \frac{13}{17} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 4 + 2 i ) ( 3 + 5 i )}{( 3 - 5 i ) ( 3 + 5 i )} : \frac{2 + 26 i}{34}

= \frac{2 + 26 i}{34}

Apply the fraction rule:

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

= \frac{2}{34} + \frac{26}{34} i

Simplify

\frac{2}{34} + \frac{26}{34} i : \frac{1}{17} + \frac{13}{17} i

= \frac{1}{17} + \frac{13}{17} i

- 3 - 5 - 20

1000 m^{3} - 125 n^{3}

(5 x - 7) (4 x - 3)

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19 0^{2}