Question

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

• A. $\frac{25}{9}$
• B. $\frac{25}{81}$
• C. $\frac{5}{27}$
• D. $\frac{5}{9}$

Answer 1

Answer: (B)

$9x^2-18|x|+5=0$
$9|x{|}^2-15|x|-3|x|+5=0\left(\because x^2=|x{|}^2\right)$
$3|x|(3|x|-5)-(3|x|-5)=0$
$|x|=\frac{1}{3},\frac{5}{3}$
$x=\pm \frac{1}{3},\pm \frac{5}{3}$
Product of roots $=\frac{25}{81}$