.
Use the Quadratic Formula to solve the equation in the interval [0, 2π). Then use a graphing utility to approximate the angle x.
(Enter your answers as a comma-separated list. Round each answer to four decimal places.)
tan^2 x + 5 tan x + 3 = 0
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Introduce new variable u = tan(x).
Then your equation becomes
= .
Solve this quadratic equation by quadratic formula. You will get
= = .
= ---> tan(x) = ---> x = ---> apply your calculator.
= ---> tan(x) = ---> x = ---> apply your calculator.