What is (5+i)/(-3-2i) ?

The solution to (5+i)/(-3-2i) is -17/13+7/13 i

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simplify (5+i)/(-3-2i)

simplify

\frac{5 + i}{- 3 - 2 i}

- \frac{17}{13} + \frac{7}{13} i

Solution steps

\frac{5 + i}{- 3 - 2 i}

Multiply by the conjugate

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

= \frac{( 5 + i ) ( - 3 + 2 i )}{( - 3 - 2 i ) ( - 3 + 2 i )}

Simplify

\frac{( 5 + i ) ( - 3 + 2 i )}{( - 3 - 2 i ) ( - 3 + 2 i )} : \frac{- 17 + 7 i}{13}

= \frac{- 17 + 7 i}{13}

Rewrite in standard complex form:

- \frac{17}{13} + \frac{7}{13} i

= - \frac{17}{13} + \frac{7}{13} i

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