Question

slove
$x \x - 1 \ + x - 1 \x = 2 \times \frac{1}{2}$
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Answer 1

Answer:

$\frac{x}{x - 1} + \frac{x - 1}{x} = 2 \times \frac{1}{2} \\ \frac{ {x }^{2} + {(x - 1)}^{2} }{x(x - 1)} = 1 \\ \frac{ {x}^{2} + {x}^{2} + 1 - 2x }{ {x}^{2} - x } = 1 \\ 2 {x}^{2} - 2x + 1 = {x}^{2} - x \\ 2 {x}^{2} - {x}^{2} - 2x + x + 1 = 0 \\ {x}^{2} - x + 1 = 0$