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1964 AMC 12 Question 7

AMC12 · 1964 AMC 12

Question 7

Let $n$ be the number of real values of $p$ for which the roots of

$$
x^2-px+p=0
$$

are equal. Then $n$ equals:
  1. $0$
  2. $1$
  3. $2$
  4. a finite number greater than $2$
  5. an infinitely large number