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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

If f(x) = _ i=1 ^3 (x-a_i) + _ i=1 ^3 a_i - 3x where a_i < a_ i+1 for i = 1, 2 , then f(x) = 0 has :

Options

  1. Aonly one distinct real root
  2. Bexactly two distinct real roots
  3. Cexactly 3 distinct real roots
  4. D3 equal real roots.

Correct answer

C. exactly 3 distinct real roots

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