Math, asked by lankit721, 1 month ago

If x+1/x = 2 find the value of x​

Answers

Answered by vkaramjit8
2

Answer:

x=1

Step-by-step explanation:

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Answered by chandan454380
1

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  )                            

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