Solve the following equation: `tan^2x+(1-sqrt(3))tanx-sqrt(3)=0` – InterviewSolution

InterviewSolution

1.	Solve the following equation: `tan^2x+(1-sqrt(3))tanx-sqrt(3)=0`
Answer» Correct Answer - `x=npi +pi/3, n in Z or x=mpi - pi/4; m in Z` `tan^(2)x + tan x - sqrt3 tan x - sqrt3 = 0` or `(tan x - sqrt3) (tan x + 1) = 0` or `tan x = sqrt3 or tan x = -1` `tan x = sqrt3 = tan (pi//3)` `rArr x = n pi + pi//3, n in Z` and `tan x = - 1 = tan (- pi//4)` `rArr x = m pi - pi//4, m in Z`

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