Question
$\frac{2}{x^2}-\frac{5}{x}+2=0$
✓
Answer
$\frac{2}{x^2}-\frac{5}{x}+2=0 $
$ \Rightarrow \frac{2-5 x+2 x^2}{x^2}=0 $
$ \Rightarrow 2 x^2-5 x +2=0 $
$ \Rightarrow 2 x^2-4 x - x +2=0$
$ \Rightarrow 2 x ( x -2)-1( x -2)=0 $
$ \Rightarrow( x -2)(2 x -1)=0$
$ \Rightarrow x -2=0 \text { or } 2 x -1=0$
$\Rightarrow x=2$ or $x=\frac{1}{2}$ are two root of the equation.
$ \Rightarrow \frac{2-5 x+2 x^2}{x^2}=0 $
$ \Rightarrow 2 x^2-5 x +2=0 $
$ \Rightarrow 2 x^2-4 x - x +2=0$
$ \Rightarrow 2 x ( x -2)-1( x -2)=0 $
$ \Rightarrow( x -2)(2 x -1)=0$
$ \Rightarrow x -2=0 \text { or } 2 x -1=0$
$\Rightarrow x=2$ or $x=\frac{1}{2}$ are two root of the equation.
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