Solution: 1-x|x|-x=0.
( 1)x & gt; 0
x^2+x- 1=0
X=(- 1+ radical number 5)/2 or x=(- 1- radical number 5)/2.
(2)x & lt; 0
x^2-x+ 1=0
X=( 1+ radical number 5)/2 or x=( 1- radical number 5)/2.
Substituting 1/x+|x| respectively gives the root number 5, 1, root number 5, 1.
So choose D.
There is also a whole replacement method. I can't remember today. If you have any questions, just say so.