What is (3-4i)/(6+2i) ?

The solution to (3-4i)/(6+2i) is 1/4-3/4 i

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simplify (3-4i)/(6+2i)

simplify

\frac{3 - 4 i}{6 + 2 i}

\frac{1}{4} - \frac{3}{4} i

Solution steps

\frac{3 - 4 i}{6 + 2 i}

Multiply by the conjugate

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

= \frac{( 3 - 4 i ) ( 6 - 2 i )}{( 6 + 2 i ) ( 6 - 2 i )}

Simplify

\frac{( 3 - 4 i ) ( 6 - 2 i )}{( 6 + 2 i ) ( 6 - 2 i )} : \frac{10 - 30 i}{40}

= \frac{10 - 30 i}{40}

Apply the fraction rule:

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

= \frac{10}{40} + \frac{- 30}{40} i

Simplify

\frac{10}{40} + \frac{- 30}{40} i : \frac{1}{4} - \frac{3}{4} i

= \frac{1}{4} - \frac{3}{4} i

11 \times 4

(3 + 2 i) (1 + 7 i)

\frac{2 x - 2}{6 x} \cdot + \frac{4 x}{x - 1}

lo g_{\frac{1}{3}} (28)

0 \times 3