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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 cubic has exactly two real and distinct solutions for x then exhaustive set of values of be :

Options

  1. A(- , 3) (30, )
  2. B(- , -22) (10, ) 3
  3. C3, 30
  4. DNone of these

Correct answer

B. (- , -22) (10, ) 3

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