Question

sum of a number and it's reciprocal is 2. express as quadratic equation

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Answer 1

Answer:

Let the number be x

It's reciprocal is 1/x

Their sum is 2.

Therefore $x + \frac{1}{x} = 2$

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

$x^2 + 1 = 2x$

$x^2-2x+1=0$

This is the required quadratic equation.

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