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1964 AMC 12 Question 30

AMC12 · 1964 AMC 12

Question 30

If

$$
\begin{aligned} (7+4\sqrt3)x^2 &+(2+\sqrt3)x\\ &-2=0, \end{aligned}
$$

the larger root minus the smaller root is:
  1. $-2+3\sqrt3$
  2. $2-\sqrt3$
  3. $6+3\sqrt3$
  4. $6-3\sqrt3$
  5. $3\sqrt3+2$