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JEE Main2017MathematicsQuadratic EquationActual

The sum of all the real values of x Satisfying the equation 2 x - 1 x 2 + 5 x - 50 = 1 is:

Options

  1. A16
  2. B- 5
  3. C- 4
  4. D14

Correct answer

C. - 4

Step-by-step solution

Given 2 x - 1 x 2 + 5 x - 50 = 1 ⇒ x - 1 x 2 + 5 x - 50 = 0 ,       ∵ 2 0 = 1 ⇒ x - 1 x + 10 x - 5 = 0 ⇒ x = 1 , 5 , - 10 Sum of the real value of x = 1 + 5 - 10 = - 4

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