What is (14+22i)/(2-9i) ?

The solution to (14+22i)/(2-9i) is -2+2i

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simplify (14+22i)/(2-9i)

simplify

\frac{14 + 22 i}{2 - 9 i}

- 2 + 2 i

Solution steps

\frac{14 + 22 i}{2 - 9 i}

Multiply by the conjugate

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

= \frac{( 14 + 22 i ) ( 2 + 9 i )}{( 2 - 9 i ) ( 2 + 9 i )}

Simplify

\frac{( 14 + 22 i ) ( 2 + 9 i )}{( 2 - 9 i ) ( 2 + 9 i )} : \frac{- 170 + 170 i}{85}

= \frac{- 170 + 170 i}{85}

Apply the fraction rule:

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

= \frac{- 170}{85} + \frac{170}{85} i

Simplify

\frac{- 170}{85} + \frac{170}{85} i : - 2 + 2 i

= - 2 + 2 i

7 p - (- 5) + (- 1)

\frac{x ^{4} - 1}{x - 1}

1 \cdot 0

\frac{16}{48}

x x