Question

x+1/x=2,x≠0,Examine whether the given equation are quadratic equations or not.

Answer 1

Answer :

Given that,

$x + \frac{1}{x} = 2 \\ \\ \implies {x}^{2} + 1 = 2x \\ \\ \implies {x}^{2} - 2x + 1 = 0$

The highest power of the variable "x" in the equation is 2. Thus, the given equation is a quadratic one.

The roots of the given equation are x = 1, 1

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