Question

if X=1/X, what can be the value (or values) of X?​

Answer 1

Answer:

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x= 1/x

or

x/1 =1/x

by cross multiplication

x²=1×1

$x = \sqrt{1}$

x = 1 or -1

Answer 2

Given: $x=\frac{1}{x}$

We have to find the value of$x$.

• By using the concept of equation shifting, we are solving the above equation.  
• For this, we will separate the variables on one side and the constant on another side.  
• Then, we will simplify the equation.

We are solving in the following way:

We have,

$x=\frac{1}{x}$

Solving the above equation further we get,

$=>x\timesx=1\\=>x^2=1\\=>x=\sqrt{1} \\\\=>x=+1,\ or\ -1$

Hence, the value of $x$is$1\ or\ -1$.