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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

Let a, b and c be three distinct real roots of the cubic x^3 + 2x^2...

Let a, b and c be three distinct real roots of the cubic x3+2x2−4x−4=0x^3 + 2x^2 - 4x - 4 = 0. If the equation x3+qx2+rx+s=0x^3 + qx^2 + rx + s = 0 has roots 1/a,1/b1/a, 1/b and 1/c1/c, then the value of (q+r+s)(q+r+s) is equal to:

Options

  1. A3/43/4
  2. B1/21/2
  3. C1/41/4
  4. D1/61/6.

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Correct answer

C. 1/41/4

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