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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

If the equation ax^2 + bx + c = 0; a, b, c R and a 0 has no real roots then which of the following is/are always correct?

Options

  1. A(a + b + c)(a - b + c) > 0
  2. B(a + b + c)(a - 2b + 4c) > 0
  3. C(a - b + c)(4a - 2b + c) > 0
  4. Da(b^2 - 4ac) > 0 .

Correct answer

A. (a + b + c)(a - b + c) > 0

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