What is (3+29i)/(-1+7i) ?

The solution to (3+29i)/(-1+7i) is 4-i

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simplify (3+29i)/(-1+7i)

simplify

\frac{3 + 29 i}{- 1 + 7 i}

4 - i

Solution steps

\frac{3 + 29 i}{- 1 + 7 i}

Multiply by the conjugate

\frac{- 1 - 7 i}{- 1 - 7 i}

= \frac{( 3 + 29 i ) ( - 1 - 7 i )}{( - 1 + 7 i ) ( - 1 - 7 i )}

Simplify

\frac{( 3 + 29 i ) ( - 1 - 7 i )}{( - 1 + 7 i ) ( - 1 - 7 i )} : \frac{200 - 50 i}{50}

= \frac{200 - 50 i}{50}

Apply the fraction rule:

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

= \frac{200}{50} + \frac{- 50}{50} i

Simplify

\frac{200}{50} + \frac{- 50}{50} i : 4 - i

= 4 - i

ln (e^{- 7})

(- y + 5) (y + 5)

\frac{6}{8}

(3 x + 1) (2 x^{2} - 5 x + 7)

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