The solution of the equation x + 1 x = 2 will be - Vidyadip

MCQ

The solution of the equation $x + \frac{1}{x} = 2$ will be

A
$2, -1$
B
$0, -1, - \frac{1}{5}$
C
$ - 1, - \frac{1}{5}$
✓
None of these

✓

Answer

Correct option: D.

None of these

d
(d) $x + \frac{1}{x} = 2\,\, \Rightarrow \,\,x + \frac{1}{x} - 2 = 0$ $(\because x \ne 0)$

==> ${x^2} - 2x + 1 = 0$

==>${(x - 1)^2} = 0$

==> $x = 1,1$.

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