SOLUTION: 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. R

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Question 1193896: 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.) (Four Answers)
6 tan^2 x + 35 tan x − 49 = 0

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

you can use factoring instead of the Quadratic Formula to solve the equation


let's
........factor



........substitute back


solutions:
if => => =>
if =>=>=>

in the interval [, ), and since tan periodicity is we have following
solutions:
=>
=>
=>
=>

answer to four decimal places:,,,


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