What is (3-7i)/(2+6i) ?

The solution to (3-7i)/(2+6i) is -9/10-4/5 i

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simplify (3-7i)/(2+6i)

simplify

\frac{3 - 7 i}{2 + 6 i}

- \frac{9}{10} - \frac{4}{5} i

Solution steps

\frac{3 - 7 i}{2 + 6 i}

Multiply by the conjugate

\frac{2 - 6 i}{2 - 6 i}

= \frac{( 3 - 7 i ) ( 2 - 6 i )}{( 2 + 6 i ) ( 2 - 6 i )}

Simplify

\frac{( 3 - 7 i ) ( 2 - 6 i )}{( 2 + 6 i ) ( 2 - 6 i )} : \frac{- 36 - 32 i}{40}

= \frac{- 36 - 32 i}{40}

Apply the fraction rule:

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

= \frac{- 36}{40} + \frac{- 32}{40} i

Simplify

\frac{- 36}{40} + \frac{- 32}{40} i : - \frac{9}{10} - \frac{4}{5} i

= - \frac{9}{10} - \frac{4}{5} i

2 \cdot 2^{k + 1}

(2 x - 1) (4 x^{2} + 3)

x^{3} - 2 x^{2} - 11 x - 6

0.48

\frac{35}{75}