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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

If f(x) = _ i=1 ^3 (x-a_i) + ∑_ i=1 ^3 a_i - 3x where a_i < a_ i+1...

If f(x)=∏i=13(x−ai)+∑i=13ai−3xf(x) = \prod_{i=1}^3 (x-a_i) + \sum_{i=1}^3 a_i - 3x where ai<ai+1a_i < a_{i+1} for i=1,2i = 1, 2, then f(x)=0f(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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