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Number of intergral roots of `|x-1||x^2-2|=2` is

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Number of intergral roots of `|x-1||x^2-2|=2` is
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We have `|x-1||x^2-2|=2`
since x is an intergor we have
`|x-1|=1and |x^2-2|=2`
or `|x-1|=2 and |x^2-2|=1`
`therefore x=0,2 and x=0,pm 2 `
or ` x= -1,3 and x=pm 1 `
Therefore solution are -1,0,2
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