A) 0
B) 2
C) 4
D) 6
Correct Answer: C
Solution :
Given \[g(x)=0\] \[\Rightarrow \] \[f(|x|)=0\] \[\Rightarrow \] \[{{x}^{2}}-5|x|+6=0\] \[\Rightarrow \] \[\left\{ \begin{matrix} {{x}^{2}}-5x+6=0,\,\,x\ge 0 \\ {{x}^{2}}+5x+6=0,\,\,x<0 \\ \end{matrix} \right.\] \[\Rightarrow \] \[\left\{ \begin{matrix} x=2,\,3,\,\,x\ge 0 \\ x=-3,\,-2,\,\,\,x<0 \\ \end{matrix} \right.\] \[\therefore \] Number of solutions = 4You need to login to perform this action.
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