What is (-1-sqrt(-3))/2 ?

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

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

simplify

\frac{- 1 - - 3}{2}

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

Solution steps

\frac{- 1 - - 3}{2}

- 3 = 3 i

= \frac{- 1 - 3 i}{2}

Apply the fraction rule:

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

= \frac{- 1}{2} + \frac{- 3}{2} i

Simplify

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

= - \frac{1}{2} - \frac{3}{2} i

(2 x^{2} + 5)^{3}

\frac{1}{3} \div \frac{2}{4}

(x^{2} + x) (x^{2} - x)

2 \frac{2}{5} \times 4

- 4 x^{2} + 4 x^{2}