For the quadratic equation x2 - 2x -1- 0- the value of x-1x is -

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Quadratic Equation

For the quadr...

Question

For the quadratic equation $x^{2} - 2 x + 1 = 0$ , the value of $x + \frac{1}{x}$ is :

- 1

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Solution

The correct option is B $2$
Given: quadratic equation $x^{2} - 2 x + 1 = 0$
To find the value of $x + \frac{1}{x}$
$x^{2} - 2 x + 1 = 0$
$\Rightarrow x^{2} + 1 = 2 x$

$\Rightarrow \frac{x^{2} + 1}{x} = 2$
$\Rightarrow x + \frac{1}{x} = 2$

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