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MathNet 1999 — Part 01 Question 75

Math Olympiad Vault · MathNet 1999 — Part 01

Question 75

How many positive integer solutions are there to the equation $x^{x} - 2^{x} - x^{2} = 10$?
  1. None
  2. one
  3. two
  4. more than two, but a finite number
  5. infinite.