What is (-8+6i)/(2-8i) ?

The solution to (-8+6i)/(2-8i) is -16/17-13/17 i

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simplify (-8+6i)/(2-8i)

simplify

\frac{- 8 + 6 i}{2 - 8 i}

- \frac{16}{17} - \frac{13}{17} i

Solution steps

\frac{- 8 + 6 i}{2 - 8 i}

Multiply by the conjugate

\frac{2 + 8 i}{2 + 8 i}

= \frac{( - 8 + 6 i ) ( 2 + 8 i )}{( 2 - 8 i ) ( 2 + 8 i )}

Simplify

\frac{( - 8 + 6 i ) ( 2 + 8 i )}{( 2 - 8 i ) ( 2 + 8 i )} : \frac{- 64 - 52 i}{68}

= \frac{- 64 - 52 i}{68}

Apply the fraction rule:

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

= \frac{- 64}{68} + \frac{- 52}{68} i

Simplify

\frac{- 64}{68} + \frac{- 52}{68} i : - \frac{16}{17} - \frac{13}{17} i

= - \frac{16}{17} - \frac{13}{17} i

25 \frac{1}{2}

(x^{2} + x - 6) (2 x^{2} + 4 x)

(4 x + 1) (5 x - 2)

\frac{1}{x + 3} - 5

(5^{2}) (5^{8})