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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Paragraph: **** Let f(x) = ax^2 + bx + c, a 0 , such that f(-1-x) = f(-1+x) x R . Also given that f(x) = 0 has no real roots and 4a + b > 0 . If f(x) can take both positive and negative values then t must lie in the interval

Options

  1. A(- 1 4 , 1 4 )
  2. B(- , - 1 4 ) ( 1 4 , )
  3. C(- 1 4 , 1 4 ) - 0
  4. D(-4, 4)

Correct answer

C. (- 1 4 , 1 4 ) - 0

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