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The number of integers satisfying the equation `|x|+|(4-x^(2))/(x)|=|(4)/(x)|` is

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The number of integers satisfying the equation `|x|+|(4-x^(2))/(x)|=|(4)/(x)|` is
A. `5`
B. `4`
C. `6`
D. `7`
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1 Answer

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Correct Answer - B
`(b)` `|x|+|(4-x^(2))/(x)|=|x+(4-x^(2))/(x)|`
As `|a|+|b|=|a+b|implies ab ge 0`
`:.x((4-x^(2))/(x)) ge 0`, `x ne 0`
`implies x^(2)-4 le 0`
`implies x in [-2,2]-{0}`
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