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1962 AMC 12 Question 34

AMC12 · 1962 AMC 12

Question 34

For what real values of $K$ does $x=K^2(x-1)(x-2)$ have real roots?
  1. none
  2. $-2\lt K\lt1$
  3. $-2\sqrt2\lt K\lt2\sqrt2$
  4. $K\gt1$ or $K\lt-2$
  5. all