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akash kashyp Grade: Upto college level
        

solve the eq |x/x-1|+|x|=x^2/|x-1|

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear akash


|x/x-1|+|x|=x^2/|x-1|


|x| + |x||x-1|=x2


condition x can be equal to 1 because x-1 is on denominator


case 1 x<0


-x +x2-x  =x2


 x=0   which is not  a solution


case 2      0≤x<1


 x -(x)(x-1) =x


 x(x-1)=0


 x=0 and 1


 x=1 is not a solution


case 3    1<x


x+x(x-1) =x2


x=x2  which is always true 


so final solution          x=0   and x>1




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Badiuddin



 

7 years ago
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