2x-3/2x+1=3x+1/3x-1
You asked:
Solve the equation \(2 x - \frac{3}{2 x} + 1 = 3 x + \frac{1}{3 x} - 1\) for the variable \(x\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}x &= 1 - \frac{\sqrt{30} i}{6} = 1 -0.91287093 i\\x &= 1 + \frac{\sqrt{30} i}{6} = 1 + 0.91287093 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).