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solve the eq |x/x-1|+|x|=x^2/|x-1|
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) =x2
x(x-1)=0
x=0 and 1
x=1 is not a solution
case 3 1<x
x+x(x-1) =x2
x2 =x2 which is always true
so final solution x=0 and x>1
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE & AIEEE preparation. All the best. Regards,Askiitians ExpertsBadiuddin
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE & AIEEE preparation.
All the best. Regards,Askiitians ExpertsBadiuddin
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