2=x^3-2x^2-2x-1
You asked:
Solve the equation \(2 = {x}^{3} - 2 \cdot {x}^{2} - 2 x - 1\) for the variable \(x\).
MathBot Answer:
The 3 solutions to the equation are: \[\begin{aligned}x &= 3\\x &= - \frac{1}{2} - \frac{\sqrt{3} i}{2} \approx -0.5 -0.8660254 i\\x &= - \frac{1}{2} + \frac{\sqrt{3} i}{2} \approx -0.5 + 0.8660254 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).