The roots of the quadratic equation x² + 2x + 3 = 0 are denoted by α and β. Without solving the equation, find the quadratic equation whose roots are α + 1/β and β + 1/α.

Lagos State University MAT101 2024 past question

  1. x² − 4x + 5 = 0
  2. x² − 4x − 5 = 0
  3. 3x² + 8x + 16 = 0
  4. 3x² − 8x + 1 = 0

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