x+1/x=5/4

asked by guest
on Oct 25, 2024 at 5:00 pm



You asked:

Solve the equation \(x + \frac{1}{x} = \frac{5}{4}\) for the variable \(x\).

MathBot Answer:

The 2 solutions to the equation are: \[\begin{aligned}x &= \frac{5}{8} - \frac{\sqrt{39} i}{8} \approx 0.625 -0.78062475 i\\x &= \frac{5}{8} + \frac{\sqrt{39} i}{8} \approx 0.625 + 0.78062475 i\end{aligned}\]

\(i\) is the imaginary unit, defined as \(i^2 = -1\).

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