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1989 AMC 12 Question 28

AMC12 · 1989 AMC 12

Question 28

Find the sum of the roots of $\tan^2x-9\tan x+1=0$ that are between $x=0$ and $x=2\pi$ radians.
  1. $\frac\pi2$
  2. $\pi$
  3. $\frac{3\pi}2$
  4. $3\pi$
  5. $4\pi$