What is the general solution for tan^2(x)+2sqrt(3)tan(x)+3=0 ?

The general solution for tan^2(x)+2sqrt(3)tan(x)+3=0 is x=(2pi)/3+pin

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tan^2(x)+2sqrt(3)tan(x)+3=0

tan^{2} (x) + 23 tan (x) + 3 = 0

x = \frac{2 π}{3} + πn

Solution steps

tan^{2} (x) + 23 tan (x) + 3 = 0

Solve by substitution

tan (x) = - 3

tan (x) = - 3 : x = \frac{2 π}{3} + πn

Combine all the solutions

x = \frac{2 π}{3} + πn

7 tan (θ) - 8 = 5 tan (θ) - 5

sin (θ) = 0.99

sin (θ) = 0.93

sin (θ) = 0.78

tan (2 θ) - 3 = 0

What is the general solution for tan^2(x)+2sqrt(3)tan(x)+3=0 ?
The general solution for tan^2(x)+2sqrt(3)tan(x)+3=0 is x=(2pi)/3+pin