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AMO 2023 – Junior College (Grade 11–12) Question 2

AMO · AMO 2023 – Junior College (Grade 11–12)

Question 2

The equation $x^2+x+1=0$ has roots $a,b$. Which equation has roots $a^2,b^2$?

Question illustration
  1. $x^2-x+1=0$
  2. $x^2+x+1=0$
  3. $x^2+2x+1=0$
  4. $x^2+3x+1=0$