Question

The number of solutions of the equation $x^2-5|x|+6=0$ is

• A. 4
• B. 3
• C. 2
• D. 1

Answer 1

Answer: (A)

$x^2-5|x|+6=\{\begin{array}{ll}{x}^2-5x+6=0,& ,x\ge 0\\ x^2+5x+6=0& ,x<0\end{array}$
$\therefore$ Number of solutions of equation is 4