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Solve the equation |X/(X-1)|+|X|=(X^(2))...

Solve the equation `|X/(X-1)|+|X|=(X^(2))/(|X-1)|`

Text Solution

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`x^(2)/|x-1|=|x+x/(x-1)|`
`therefore |x|+|x/(x-1)|=|x+x/(x-1)|` is true only if `(x.x/(x-1)) ge0 rArr x in {0} cup (1,infty)`. Ans. (A)
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