1. Tardigrade
  2. Question
  3. Mathematics
  4. Let [t] denote the greatest integer ≤ t. Then the equation in x,[x]2+2[x+2]-7=0 has:

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Let [t] denote the greatest integer $\leq t$. Then the equation in $x,[x]^{2}+2[x+2]-7=0$ has:

JEE MainJEE Main 2020Relations and Functions

Solution:

$[ x ]^{2}+2[ x +2]-7=0$
$\Rightarrow [ x ]^{2}+2[ x ]+4-7=0$
$\Rightarrow [ x ]=1,-3$
$\Rightarrow x \in[1,2) \cup[-3,-2)$