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1951 AMC 12 Question 26

AMC12 · 1951 AMC 12

Question 26

In the equation $$
\frac{x(x-1)-(m+1)}{(x-1)(m-1)}=\frac{x}{m},
$$ the roots are equal when:
  1. $m=1$
  2. $m=\dfrac12$
  3. $m=0$
  4. $m=-1$
  5. $m=-\dfrac12$