What is (2+10i)/(9-6i) ?

The solution to (2+10i)/(9-6i) is -14/39+34/39 i

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simplify (2+10i)/(9-6i)

simplify

\frac{2 + 10 i}{9 - 6 i}

- \frac{14}{39} + \frac{34}{39} i

Solution steps

\frac{2 + 10 i}{9 - 6 i}

Multiply by the conjugate

\frac{9 + 6 i}{9 + 6 i}

= \frac{( 2 + 10 i ) ( 9 + 6 i )}{( 9 - 6 i ) ( 9 + 6 i )}

Simplify

\frac{( 2 + 10 i ) ( 9 + 6 i )}{( 9 - 6 i ) ( 9 + 6 i )} : \frac{- 42 + 102 i}{117}

= \frac{- 42 + 102 i}{117}

Apply the fraction rule:

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

= \frac{- 42}{117} + \frac{102}{117} i

Simplify

\frac{- 42}{117} + \frac{102}{117} i : - \frac{14}{39} + \frac{34}{39} i

= - \frac{14}{39} + \frac{34}{39} i

5 k + (- 2 k) - (- 1)

68

200

10 x + 5 = 6 x + 49

363