x+1/x-1 + x-2/x+2 = 4-(2x+3/x-2)
You asked:
Solve the equation \(x + \frac{1}{x} - 1 + x - \frac{2}{x} + 2 = 4 - \left(2 x + \frac{3}{x} - 2\right)\) for the variable \(x\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}x &= \frac{5}{8} - \frac{\sqrt{7} i}{8} \approx 0.625 -0.33071891 i\\x &= \frac{5}{8} + \frac{\sqrt{7} i}{8} \approx 0.625 + 0.33071891 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).