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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

If ₁, ₂ ( ₁ > ₂) are two values of for which the expression f(x, y) = x^2 + xy + y^2 - 5x - 7y + 6 can be resolved as a product of two linear factors, then the value of 3 ₁ + 2 ₂ is :

Options

  1. A5
  2. B10
  3. C15
  4. D20.

Correct answer

C. 15

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