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

The solution to (5+i)/(-2-i) is -11/5+3/5 i

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

simplify

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

- \frac{11}{5} + \frac{3}{5} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 5 + i ) ( - 2 + i )}{( - 2 - i ) ( - 2 + i )} : \frac{- 11 + 3 i}{5}

= \frac{- 11 + 3 i}{5}

Rewrite in standard complex form:

- \frac{11}{5} + \frac{3}{5} i

= - \frac{11}{5} + \frac{3}{5} i

\frac{- 5 ( u ) ^{2}}{10 u ^{- 7}}

\frac{x x ^{- 2} y ^{3}}{y ^{7}}

3 (1 - t)^{2}

(i - 2)^{2}