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Popular >

simplify 3/(-1+i)

Solution

simplify

\frac{3}{- 1 + i}

Solution

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

Solution steps

\frac{3}{- 1 + i}

Multiply by the conjugate

\frac{- 1 - i}{- 1 - i}

= \frac{3 ( - 1 - i )}{( - 1 + i ) ( - 1 - i )}

Simplify

\frac{3 ( - 1 - i )}{( - 1 + i ) ( - 1 - i )} : \frac{- 3 - 3 i}{2}

= \frac{- 3 - 3 i}{2}

Apply the fraction rule:

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

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

Simplify

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

= - \frac{3}{2} - \frac{3}{2} i

Popular Examples

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\frac{y - 1}{2} - 2 \leq \frac{3 y - 2}{5}

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15 x^{2} - 16 x y + 4 y^{2}

p^{2} + 15 p + 14 = 0

Frequently Asked Questions (FAQ)

What is 3/(-1+i) ?
The solution to 3/(-1+i) is -3/2-3/2 i