The equations x 3 + 5x 2 + px + q = 0 and x 3 + 7x 2 + px + r = 0 have two roots in…

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

The equations x3 + 5x2 + px + q = 0 and
x3 + 7x2 + px + r = 0 have two roots in common. If the third root of each equation is represented by x1 and x2 respectively, then x1 + x2 is
  1. \(-12\)
  2. \(-2\)
  3. \(12\)
  4. \(2\)

Answer

(A) -12

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