Question

factories the given equation​

Answer 1

Step-by-step explanation:

given equation can be written as

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

$= \frac{1}{x} ( {x}^{2} - 2x + 1)$

$\frac{ {(x - 1)}^{2} }{x}$

HOPE IT HELPS SO PLEASE MARK ME BRAINLIEST AND FOLLOW ME

Answer 2

$\bold\blue{Question}$

$\bold{Factorise}$

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

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{(x-1)(x-1)=0}$

$\bold\orange{Given:}$

$\bold{=>x+\frac{1}{x}=2}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{=>x+\frac{1}{x}=2}$

$\bold{=>x+\frac{1}{x}-2=0}$

$\bold{Multiply \ equation \ by \ x \ throughout}$

$\bold{=>x^{2}+1-2x=0}$

$\bold{=>x^{2}-2x+1=0}$

$\bold{=>x^{2}-x-x+1=0}$

$\bold{=>x(x-1)-1(x-1)=0}$

$\bold{=>(x-1)(x-1)=0}$