Question:
The product of the roots of the equation $9 x^{2}-18|x|+5=0$, is
Correct Option: , 2
Solution:
$9 x^{2}-18|x|+5=0$
$9|x|^{2}-15|x|-3|x|+5=0\left(\because x^{2}=|x|^{2}\right)$
$3|x|(3|x|-5)-(3|x|-5)=0$
$|x|=\frac{1}{3}, \frac{5}{3}$
$x=\pm \frac{1}{3}, \pm \frac{5}{3}$
Product of roots $=\frac{25}{81}$