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anurag singhal Grade:
        
Q1. How many roots does this equation possess?


3|x|-|2-|x||=1
7 years ago

Answers : (1)

Pratham Ashish
17 Points
										

hi , rewrite the eq. as


    3|x|-1 = |2-|x||


 or, we can write


      3|x|-1 =  ||x|-2|


we will now do the graphical analysis of both the function  3|x|-1   &  ||x|-2| .


if the graphs will intersect at apoint then at this point both the function will be equal


& this point will be the solu. of our eq.



 



 


4309-121_4788_3.bmp


we can  clearly say that there are only two solu. of the given eq.


 to draw the graph of first one,


1 . first we draw the 3^x . changing its -x axis by +xaxis we will get 3|x| . by pulling it downward  at a unit distance we will make graph of 3|x| -1


for second function,


  2.  draw the |x|  & pull it by 2 unit down ward . then we will invert that part of graph which is below x - axis  . this will be the graph of    ||x|-2|.

7 years ago
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