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1981 AMC 12 Question 6

AMC12 · 1981 AMC 12

Question 6

If $\frac{x}{x-1}=\frac{y^2+2y-1}{y^2+2y-2},$ then $x$ equals
  1. $y^2+2y-1$
  2. $y^2+2y-2$
  3. $y^2+2y+2$
  4. $y^2+2y+1$
  5. $-y^2-2y+1$