Let k be sum of all x in the interval [0,2π] such that 3cot2⁡x+8cot⁡x+3=0 then the value of kπ is

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answer is 5.

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Detailed Solution

3cot2⁡x+8cot⁡x+3=0∴ cot⁡x=−4±73Both roots are negative.∴ π2

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