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AMO 2023 Secondary 4 (Grade 10) Question 3

AMO · AMO 2023 Secondary 4 (Grade 10)

Question 3

What is the sum of all real-number solutions of $x^{\sqrt{x}}=(\sqrt{x})^x$?

Question illustration
  1. 5
  2. 8
  3. 11
  4. 15