x^3+x-2=0
You asked:
Solve the equation \({x}^{3} + x - 2 = 0\) for the variable \(x\).
MathBot Answer:
The 3 solutions to the equation are: \[\begin{aligned}x &= 1\\x &= - \frac{1}{2} - \frac{\sqrt{7} i}{2} \approx -0.5 -1.3228757 i\\x &= - \frac{1}{2} + \frac{\sqrt{7} i}{2} \approx -0.5 + 1.3228757 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).