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103大安高工

103大安高工

 

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2014-5-5 21:40, 下載次數: 10802

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2.
設\( 0 \le x \le 2 \pi \),求\( tan^2x-9tanx+1=0 \)之各根總和為多少?

112.8.22補充
若\(0\le x \le 2\pi\),則滿足\(tan^2 x-9tanx+1=0\)的所有\(x\)值之和為   
(111高中數學能力競賽 第一區(花蓮高中)筆試二試題,https://math.pro/db/thread-3782-1-1.html)

Find the sum of the roots of \( tan^2x-9tanx+1=0 \) that are between \( x=0 \) and \( x=2 \pi \) radians.
(A)\( \displaystyle \frac{\pi}{2} \) (B)\( \pi \) (C)\( \displaystyle \frac{3\pi}{2} \) (D)\( 3\pi \) (E)\( 4\pi \)
(1989AHSME,https://artofproblemsolving.com/ ... Problems/Problem_28)

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