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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Let x₁ and x₂ be the real roots of the equation x^2 - (k - 2)x + (k^2 + 3k + 5) = 0 , then the maximum value of x₁^2 + x₂^2 is :

Options

  1. A19
  2. B18
  3. C50 9
  4. Dnon-existent.

Correct answer

B. 18

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