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

The solution to (6-2i)/(-7+i) is -22/25+4/25 i

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

simplify

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

- \frac{22}{25} + \frac{4}{25} i

Solution steps

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

Multiply by the conjugate

\frac{- 7 - i}{- 7 - i}

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

Simplify

\frac{( 6 - 2 i ) ( - 7 - i )}{( - 7 + i ) ( - 7 - i )} : \frac{- 44 + 8 i}{50}

= \frac{- 44 + 8 i}{50}

Apply the fraction rule:

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

= \frac{- 44}{50} + \frac{8}{50} i

Simplify

\frac{- 44}{50} + \frac{8}{50} i : - \frac{22}{25} + \frac{4}{25} i

= - \frac{22}{25} + \frac{4}{25} i

(\frac{5}{2})^{2}

81 a^{2} + 36 a + 4

15 p^{2} + 80 = - 80 p

36 m^{4} - 12 m^{3} - 8 m^{2}

- 4 + \frac{r}{2} = - 8