x+1/x= $\sqrt{\2}$
You asked:
Solve the equation \(x + \frac{1}{x} = \sqrt{2}\) for the variable \(x\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}x &= \frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2} \approx 0.70710678 -0.70710678 i\\x &= \frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2} \approx 0.70710678 + 0.70710678 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).