What is the general solution for tan^2(x)-tan(x)-6=0 ?

The general solution for tan^2(x)-tan(x)-6=0 is x=1.24904…+pin,x=-1.10714…+pin

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tan^2(x)-tan(x)-6=0

tan^{2} (x) - tan (x) - 6 = 0

x = 1.24904 \dots + πn, x = - 1.10714 \dots + πn

Solution steps

tan^{2} (x) - tan (x) - 6 = 0

Solve by substitution

tan (x) = 3, tan (x) = - 2

tan (x) = 3 : x = arctan (3) + πn

tan (x) = - 2 : x = arctan (- 2) + πn

Combine all the solutions

x = arctan (3) + πn, x = arctan (- 2) + πn

Show solutions in decimal form

x = 1.24904 \dots + πn, x = - 1.10714 \dots + πn

\frac{1}{sec ( 2 x ) - 1} - \frac{1}{sec ( 2 x ) + 1} = 6

sin (2 π + x) - sin (2 π - x) = - 1

θ, ma = T sin (θ) - m g

sin (x) = \frac{16}{20}

tan (\frac{π}{4} + x) = 2 + 3

What is the general solution for tan^2(x)-tan(x)-6=0 ?
The general solution for tan^2(x)-tan(x)-6=0 is x=1.24904…+pin,x=-1.10714…+pin