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  4. If [x]2-5[x]+6=0, where [x] denotes the greatest integer function, then

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Q. If $[x]^2-5[x]+6=0$, where $[x]$ denotes the greatest integer function, then

KCETKCET 2024Relations and Functions

Solution:

$([x]-2)([x]-3)=0 $
$\Rightarrow[x]=2 \text { or }[x]=3 $
$\Rightarrow x \in[2,4)$