4-2.Quadratic Equations and Inequations
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સમીકરણ $9 x^{2}-18|x|+5=0$ ના બીજોનો ગુણાકાર .......... થાય 

A

$\frac{25}{9}$

B

$\frac{25}{81}$

C

$\frac{5}{27}$

D

$\frac{5}{9}$

(JEE MAIN-2020)

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 $=\frac{25}{81}$

Standard 11
Mathematics

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