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1958 AMC 12 Question 41

AMC12 · 1958 AMC 12

Question 41

The roots of $Ax^2+Bx+C=0$ are $r$ and $s.$ For the roots of

$$
x^2+px+q=0
$$

to be $r^2$ and $s^2,$ $p$ must equal:
  1. $\dfrac{B^2-4AC}{A^2}$
  2. $\dfrac{B^2-2AC}{A^2}$
  3. $\dfrac{2AC-B^2}{A^2}$
  4. $B^2-2C$
  5. $2C-B^2$