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

The solution to (-5-2i)/(-3+5i) is 5/34+31/34 i

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

simplify

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

\frac{5}{34} + \frac{31}{34} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( - 5 - 2 i ) ( - 3 - 5 i )}{( - 3 + 5 i ) ( - 3 - 5 i )} : \frac{5 + 31 i}{34}

= \frac{5 + 31 i}{34}

Rewrite in standard complex form:

\frac{5}{34} + \frac{31}{34} i

= \frac{5}{34} + \frac{31}{34} i

1 = 7 x

\frac{π}{2} - \frac{4 π}{11}

z^{2} + 2 z - 8

7 x^{2} y + 2 x y + 35 x + 10