Solve x^2+1/x^2=x^2+1/x^2

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

Solve for x

$$x\neq 0$$

Solution Steps

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x^{2}.

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

This is true for any x.

$$x\in \mathrm{R}$$

Variable x cannot be equal to 0.

$$x\in \mathrm{R}\setminus 0$$