3x+1/2x=2
You asked:
Solve the equation \(3 x + \frac{1}{2 x} = 2\) for the variable \(x\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}x &= \frac{1}{3} - \frac{\sqrt{2} i}{6} \approx 0.\overline{3} -0.23570226 i\\x &= \frac{1}{3} + \frac{\sqrt{2} i}{6} \approx 0.\overline{3} + 0.23570226 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).