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If 3cot^2x - 5cotx = -2, then cotx = _____.

A. -2, -1/3
B. -1, -2/3
C. 1, 2/3
D. 2, 1/3

User Mallioch
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1 Answer

2 votes
3cot²x - 5cotx = -2

Lets pretend cotx = t

3t² - 5t = -2
3t² - 5t + 2 = 0

factor polynomial
(3t-2)(t-1) = 0

3t-2 = 0
t-1 = 0

then "t" which is also cotx is equal to 1 or 2/3



User Pschwamb
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