$2 x = 3 - \frac{1}{x}$

Answer

$x_{1} = 1 x_{2} = \frac{1}{2}$

Explanation

2 x x \cdot 2 x 2 x^{2} 2 x^{2} - 3 x + 1 = 3 - \frac{1}{x} = x \cdot 3 - x \cdot \frac{1}{x} = 3 x - 1 = 0 multiply ALL terms by x . cancel out the denominators move all terms to the left hand side

$2 x^{2} - 3 x + 1 = 0$ is a quadratic equation.

You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.

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2x=3−x1​

x1​=1​x2​=21​​

$2 x = 3 - \frac{1}{x}$

$x_{1} = 1 x_{2} = \frac{1}{2}$