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1954 AMC 12 Question 25

AMC12 · 1954 AMC 12

Question 25

The two roots of the equation $$
\begin{aligned} a(b-c)x^2+b(c-a)x\\ {}+c(a-b)&=0 \end{aligned}
$$ are $1$ and:
  1. $\dfrac{b(c-a)}{a(b-c)}$
  2. $\dfrac{a(b-c)}{c(a-b)}$
  3. $\dfrac{a(b-c)}{b(c-a)}$
  4. $\dfrac{c(a-b)}{a(b-c)}$
  5. $\dfrac{c(a-b)}{b(c-a)}$