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1951 AMC 12 Question 33

AMC12 · 1951 AMC 12

Question 33

The roots of the equation $x^2-2x=0$ can be obtained graphically by finding the abscissas of the points of intersection of each of the following pairs of equations except the pair:
  1. $y=x^2,$ $y=2x$
  2. $y=x^2-2x,$ $y=0$
  3. $y=x,$ $y=x-2$
  4. $y=x^2-2x+1,$ $y=1$
  5. $y=x^2-1,$ $y=2x-1$