If α² and β² are the roots of x² − 21x + 4 = 0 and α and β are both positive, find the equation with roots 1/α² and 1/β².

Lagos State University MAT101 2024 past question

  1. x² − 11x + 4 = 0
  2. 9x² − 11x − 4 = 0
  3. x² − 21x + 4 = 0
  4. 4x² − 21x + 1 = 0

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