SOLUTION: For the following question determine exact solutions where possible. If exact solutions are not possible determine approximate solutions, rounded to the nearest hundredth of a ra

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Question 1169241: For the following question determine exact solutions where possible. If
exact solutions are not possible determine approximate solutions, rounded
to the nearest hundredth of a radian. Show all of your work.
15. Solve 4 tan^2 x + 2 tan x - 3 = 0 on the interval x belongs to [0, 2π].
I am not sure if my answer is correct . I got 0.5 Can somebody help
Rita
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Let , then:



I'll leave it to you to verify that the roots are

So then .

However, is outside the domain interval specified for the problem, so to find the values of the angle for the negative root you need: and .

For the positive root of your quadratic you need: and
See the diagram

.

John

My calculator said it, I believe it, that settles it

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