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1953 AMC 12 Question 20

AMC12 · 1953 AMC 12

Question 20

If $y=x+\dfrac1x,$ then $x^4+x^3-4x^2+x+1=0$ becomes:
  1. $x^2(y^2+y-2)=0$
  2. $x^2(y^2+y-3)=0$
  3. $x^2(y^2+y-4)=0$
  4. $x^2(y^2+y-6)=0$
  5. none of these