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cathy Grade:
        


Solve the equation |2x-1| = 3[x] + 2{x} for x


7 years ago

Answers : (1)

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
										

Dear Cathy,


Ans:- When 2x-1>0  i.e x>1/2


then we have


2x-1=2[x]+2{x}+[x]


or 2x-1=2x+[x]


or [x]=-1


Hence  -1<x<0 So no solution in this range.


Again when 2x-1<0 i.e x<1/2 Then we get


       1-2x=2x+[x]


    or 4x+[x]=1


which is possible only when x=1/4 (ans)


 


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All the best Cathy !!!


 



Regards,


Askiitians Experts


SOUMYAJIT IIT_KHARAGPUR

7 years ago
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