What is (29-22i)/(-2+7i) ?

The solution to (29-22i)/(-2+7i) is -4-3i

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simplify (29-22i)/(-2+7i)

simplify

\frac{29 - 22 i}{- 2 + 7 i}

- 4 - 3 i

Solution steps

\frac{29 - 22 i}{- 2 + 7 i}

Multiply by the conjugate

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

= \frac{( 29 - 22 i ) ( - 2 - 7 i )}{( - 2 + 7 i ) ( - 2 - 7 i )}

Simplify

\frac{( 29 - 22 i ) ( - 2 - 7 i )}{( - 2 + 7 i ) ( - 2 - 7 i )} : \frac{- 212 - 159 i}{53}

= \frac{- 212 - 159 i}{53}

Apply the fraction rule:

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

= \frac{- 212}{53} + \frac{- 159}{53} i

Simplify

\frac{- 212}{53} + \frac{- 159}{53} i : - 4 - 3 i

= - 4 - 3 i

5^{10}

1 + \frac{1}{3}

64 c^{3} + 27

7^{l o g_{7} (5)}

- \frac{1}{20} e^{- 5} - \frac{1}{100} e^{- 10 \cdot 0.5}