What is (-12+sqrt(-45))/(24) ?

The solution to (-12+sqrt(-45))/(24) is -1/2+(sqrt(5))/8 i

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simplify (-12+sqrt(-45))/(24)

simplify

\frac{- 12 + - 45}{24}

- \frac{1}{2} + \frac{5}{8} i

Solution steps

\frac{- 12 + - 45}{24}

- 45 = 35 i

= \frac{- 12 + 3 5 i}{24}

Factor out common term

3 : 3 (- 4 + 5 i)

= \frac{3 ( - 4 + 5 i )}{24}

Factor the number:

24 = 3 \cdot 8

= \frac{3 ( - 4 + 5 i )}{3 \cdot 8}

Cancel the common factor:

3

= \frac{- 4 + 5 i}{8}

\frac{- 4 + 5 i}{8} = - \frac{1}{2} + \frac{5}{8} i

= - \frac{1}{2} + \frac{5}{8} i

\frac{1042 - 214}{5}

520 + 24 - 180 + 754

- \frac{1}{4} (- 5)

\frac{2 x - 6}{x + 4} > 0

- x^{2} - 15 x - 36

What is (-12+sqrt(-45))/(24) ?
The solution to (-12+sqrt(-45))/(24) is -1/2+(sqrt(5))/8 i