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Popular >

simplify 1/(2-(3-i))

Solution

simplify

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

Solution

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

Solution steps

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

Simplify

2 - (3 - i) : - 1 + i

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

Multiply by the conjugate

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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