What is the general solution for tan^2(x)=3-2tan(x) ?

The general solution for tan^2(x)=3-2tan(x) is x= pi/4+pin,x=-1.24904…+pin

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

tan^{2} (x) = 3 - 2 tan (x)

x = \frac{π}{4} + πn, x = - 1.24904 \dots + πn

Solution steps

tan^{2} (x) = 3 - 2 tan (x)

Solve by substitution

tan (x) = 1, tan (x) = - 3

tan (x) = 1 : x = \frac{π}{4} + πn

tan (x) = - 3 : x = arctan (- 3) + πn

Combine all the solutions

x = \frac{π}{4} + πn, x = arctan (- 3) + πn

Show solutions in decimal form

x = \frac{π}{4} + πn, x = - 1.24904 \dots + πn

tan (3 x) + tan (5 x) = 0

sin (x) = \frac{1}{2} 3

2 cot (x) + 4 = 6

sin (θ) = \frac{20 N}{35 N}

22 sin (θ) + 2 = 0

What is the general solution for tan^2(x)=3-2tan(x) ?
The general solution for tan^2(x)=3-2tan(x) is x= pi/4+pin,x=-1.24904…+pin