Question

If x+1/x = 2 find the value of x​

Answer 1

Answer:

x=1

Step-by-step explanation:

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Answer 2

Answer:

The answer is $x=1$

Step-by-step explanation:

Given   $\displaystyle x+\frac{1}{x}=2$

Take LCM and simplify  $\displaystyle \Rightarrow \frac{x^2+1}{x}=2$

Cross multiply $\Rightarrow x^2+1=2x$

                   $\Rightarrow x^2-2x+1=0\\\Rightarrow x^2-2(x)(1)+1^2=0\\\Rightarrow (x-1)^2=0\\\Rightarrow x-1=0\\\Rightarrow x=1$  

( using $a^2-2ab+b^2=(a-b)^2$  )