What is (-1+sqrt(-7))/(-2) ?

The solution to (-1+sqrt(-7))/(-2) is 1/2-(sqrt(7))/2 i

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simplify (-1+sqrt(-7))/(-2)

simplify

\frac{- 1 + - 7}{- 2}

\frac{1}{2} - \frac{7}{2} i

Solution steps

\frac{- 1 + - 7}{- 2}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{- 1 + - 7}{2}

- 7 = 7 i

= - \frac{- 1 + 7 i}{2}

Apply the fraction rule:

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

= - (\frac{- 1}{2} + \frac{7}{2} i)

Remove parentheses:

- (a + bi) = - a - bi

= - \frac{- 1}{2} - \frac{7}{2} i

Apply the fraction rule:

- \frac{- a}{b} = \frac{a}{b}

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

= \frac{1}{2} - \frac{7}{2} i

\frac{16}{2}

\frac{x}{2 x}

\frac{8}{3} + \frac{4}{3}

(3 + 4 i) + (- 6 + 2 i)

What is (-1+sqrt(-7))/(-2) ?
The solution to (-1+sqrt(-7))/(-2) is 1/2-(sqrt(7))/2 i