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The sum of the roots of the equation, x 2   +   | 2 x   -   3 |   -   4   =   0 , is

Options

  1. A2
  2. B- 2
  3. C2
  4. D-2

Correct answer

C. 2

Step-by-step solution

Given Equation :   x 2   +   | 2 x   -   3 |   -   4   =   0 x < 3 2 ⇒ x 2 - 2x - 3 - 4 = 0 ⇒   x 2   -   2 x   -   1   =   0 Roots α , β = 2 ± 4 + 4 2 = 1 ± 2 root 1 + 2 > 3 2 , hence rejected ⇒ root accepted 1 - 2 x ≥ 3 2 ⇒ x 2 + 2x - 3 - 4 = 0 ⇒ x 2 + 2x - 7 = 0 Roots γ , δ = - 2 ± 4 + 4 × 7 2 - 1 ± 2 2 root - 1 - 2 2 < 3 2 , hence rejected &rAr

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