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

Question

The product of the roots of the equation 9 x 2 - 18 | x | + 5 = 0 is :, 5 9, 25 81, 5 27, 25 9

MARKS App · Accepted Answer

∵ x 2 = | x | 2 9 x 2 - 18 x + 5 = 0 ⇒ ( 3 x - 1 ) ( 3 x - 5 ) = 0 ⇒ | x | = 1 3 , 5 3 ∴ x = 1 3 , - 1 3 , 5 3 , - 5 3 product of roots = 1 3 - 1 3 5 3 - 5 3 = 25 81

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