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the number k is such that tan{arc tan(2)+arc tan(20k)}=k. the sum of allpossible values of k is:

the number k is such that tan{arc tan(2)+arc tan(20k)}=k.


the sum of allpossible values of k is:

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1 Answers

vignesh prasad
14 Points
10 years ago

 tan{arc tan(2)+arc tan(20k)}=k.

using formula,arctan x + arctan y = arctan ((x+y)/(1-xy))

we get,

(20k+2)/(1-40k)=k

on solving we get ,

40k^2+19k+2=0,

=>sum=-19/40

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