What is (13+9i)/(-2-i) ?

The solution to (13+9i)/(-2-i) is -7-i

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simplify (13+9i)/(-2-i)

simplify

\frac{13 + 9 i}{- 2 - i}

- 7 - i

Solution steps

\frac{13 + 9 i}{- 2 - i}

Multiply by the conjugate

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

= \frac{( 13 + 9 i ) ( - 2 + i )}{( - 2 - i ) ( - 2 + i )}

Simplify

\frac{( 13 + 9 i ) ( - 2 + i )}{( - 2 - i ) ( - 2 + i )} : \frac{- 35 - 5 i}{5}

= \frac{- 35 - 5 i}{5}

Apply the fraction rule:

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

= \frac{- 35}{5} + \frac{- 5}{5} i

Simplify

\frac{- 35}{5} + \frac{- 5}{5} i : - 7 - i

= - 7 - i

- x^{3} + 4 x^{2} - 5 x + 2

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(\frac{16}{2})^{2}

\frac{( 2 a ^{3} ) ^{3}}{5 a ^{7}}

(y^{2} + b)^{2} - (b + y) (b - y)