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Popular >

simplify (-i)/(-1+i)

Solution

simplify

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

Solution

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

Solution steps

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

Multiply by the conjugate

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

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

Simplify

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

= \frac{i - 1}{2}

Rewrite in standard complex form:

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

= - \frac{1}{2} + \frac{1}{2} i

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Frequently Asked Questions (FAQ)

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