What is (-20+sqrt(-75))/(40) ?

The solution to (-20+sqrt(-75))/(40) is -1/2+(sqrt(3))/8 i

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simplify (-20+sqrt(-75))/(40)

simplify

\frac{- 20 + - 75}{40}

- \frac{1}{2} + \frac{3}{8} i

Solution steps

\frac{- 20 + - 75}{40}

- 75 = 3 \cdot 5 i

= \frac{- 20 + 3 \cdot 5 i}{40}

Factor out common term

5 : 5 (- 4 + 3 i)

= \frac{5 ( - 4 + 3 i )}{40}

Factor the number:

40 = 5 \cdot 8

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

Cancel the common factor:

5

= \frac{- 4 + 3 i}{8}

\frac{- 4 + 3 i}{8} = - \frac{1}{2} + \frac{3}{8} i

= - \frac{1}{2} + \frac{3}{8} i

∣ 12 - 15 x ∣ = ∣ 6 + 10 x ∣

26 x + 29 = 16 x - 41

\frac{x}{3} + 4 > \frac{2 x - 5}{6}

\frac{81}{( 6 ( \frac{1}{6} ) + 8 ) ^{\frac{5}{2}}}

x - 3 \leq 2

What is (-20+sqrt(-75))/(40) ?
The solution to (-20+sqrt(-75))/(40) is -1/2+(sqrt(3))/8 i