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AP EAMCET2004MathematicsQuadratic Equation

If the roots of the equation 4 x^3-12 x^2+11 x+k=0 are in arithmetic progression, then k is equal to

Options

  1. A-3
  2. B1
  3. C2
  4. D3

Correct answer

A. -3

Step-by-step solution

Since, the roots of the equation 4 x^3-12 x^2+11 x+k=0 are in A.P is -a, , +a Sum of roots, 3 = 12 4 =3 =1 Since, is a root, therefore it satisfies the given equation 4-12+11+k=0 k=-3 .

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