What is (-2-9i)/(-2+7i) ?

The solution to (-2-9i)/(-2+7i) is -59/53+32/53 i

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simplify (-2-9i)/(-2+7i)

simplify

\frac{- 2 - 9 i}{- 2 + 7 i}

- \frac{59}{53} + \frac{32}{53} i

Solution steps

\frac{- 2 - 9 i}{- 2 + 7 i}

Multiply by the conjugate

\frac{- 2 - 7 i}{- 2 - 7 i}

= \frac{( - 2 - 9 i ) ( - 2 - 7 i )}{( - 2 + 7 i ) ( - 2 - 7 i )}

Simplify

\frac{( - 2 - 9 i ) ( - 2 - 7 i )}{( - 2 + 7 i ) ( - 2 - 7 i )} : \frac{- 59 + 32 i}{53}

= \frac{- 59 + 32 i}{53}

Rewrite in standard complex form:

- \frac{59}{53} + \frac{32}{53} i

= - \frac{59}{53} + \frac{32}{53} i

2 \frac{3}{8} - 1 \frac{1}{4}

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

\frac{( 48 a ^{7} b ^{3} c ^{3} )}{( 6 a ^{3} b )}

\frac{1}{6} \cdot 751.39 - 10.9 5^{2}

28 \times 2