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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 the above cubic has three real and distinct solutions for x then exhaustive set of value of be :

Options

  1. A3 < < 10
  2. B3 < < 30
  3. C= 10
  4. DNone of these

Correct answer

C. = 10

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