(-14/3) + (3*x)/2 + (5/24)*x^3 = 0
You asked:
Solve the equation \(\frac{-14}{3} + \frac{3 x}{2} + \frac{5}{24} {x}^{3} = 0\) for the variable \(x\).
MathBot Answer:
The 3 solutions to the equation are: \[\begin{aligned}x &= 2\\x &= -1 - \frac{\sqrt{255} i}{5} = -1 -3.1937439 i\\x &= -1 + \frac{\sqrt{255} i}{5} = -1 + 3.1937439 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).