What is (-1+9i)/(5+2i) ?

The solution to (-1+9i)/(5+2i) is 13/29+47/29 i

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simplify (-1+9i)/(5+2i)

simplify

\frac{- 1 + 9 i}{5 + 2 i}

\frac{13}{29} + \frac{47}{29} i

Solution steps

\frac{- 1 + 9 i}{5 + 2 i}

Multiply by the conjugate

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

= \frac{( - 1 + 9 i ) ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )}

Simplify

\frac{( - 1 + 9 i ) ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )} : \frac{13 + 47 i}{29}

= \frac{13 + 47 i}{29}

Rewrite in standard complex form:

\frac{13}{29} + \frac{47}{29} i

= \frac{13}{29} + \frac{47}{29} i

\frac{x - 4}{x + 2} \geq 0

(3 n^{3})^{2}

lo g_{9} (729)

9 - 49 x^{2}

f = 3 (- 1) - 6