The solution of the equation x + frac{1}{x} = | vedclass

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Question

(D) Given the equation: $x + \frac{1}{x} = 2$ (where $x 
eq 0$).Multiply the entire equation by $x$ to clear the denominator:$x^2 + 1 = 2x$Rearrange

Vedclass · Accepted Answer

None of these

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(D) Given the equation: $x + \frac{1}{x} = 2$ (where $x 
eq 0$).Multiply the entire equation by $x$ to clear the denominator:$x^2 + 1 = 2x$Rearrange the terms to form a standard quadratic equation:$x^2 - 2x + 1 = 0$This is a perfect square trinomial,which can be written as:$(x - 1)^2 = 0$Taking the square root of both sides:$x - 1 = 0$$x = 1$Since the value $x = 1$ is not among the options $A, B,$ or $C$,the correct choice is $D$.

The solution of the equation $x + \frac{1}{x} = 2$ is:

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