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

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$\frac{25}{81}$

$\frac{5}{27}$

$\frac{25}{9}$

$\frac{5}{9}$

answer is D.

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Detailed Solution

$9 x^{2} - 18 |x| + 5 = 0$

$x^{2} - 2 |x| + \frac{5}{9} = 0 t h e n t h e t w o e q u a t i o n s a r e$

$x^{2} - 2 x + \frac{5}{9} = 0, x^{2} + 2 x + \frac{5}{9} = 0 i t b e c o m e s (x^{2} - 2 x + \frac{5}{9}) (x^{2} + 2 x + \frac{5}{9}) = 0 p r o d u c t o f r o o t s = \frac{25}{81}$

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