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JEE Main20205 Sep 2020Morning ShiftMathematicsQuadratic EquationActual

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

Options

  1. A5 9
  2. B25 81
  3. C5 27
  4. D25 9

Correct answer

B. 25 81

Step-by-step solution

  ∵ 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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