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  4. The product of the roots of the equation 9 x2-18|x|+5=0, is

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Q. The product of the roots of the equation $9 x^{2}-18|x|+5=0,$ is

JEE MainJEE Main 2020Complex Numbers and Quadratic Equations

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 $=\frac{25}{81}$