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

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

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

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

x = 1.24904 \dots + πn, x = \frac{3 π}{4} + πn

Solution steps

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

Solve by substitution

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

tan (x) = 3 : x = arctan (3) + πn

tan (x) = - 1 : x = \frac{3 π}{4} + πn

Combine all the solutions

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

Show solutions in decimal form

x = 1.24904 \dots + πn, x = \frac{3 π}{4} + πn

x, y = arcsin (x y)

9 cos^{2} (θ) - 2 sin (θ) - 9 = 6 sin (θ) - 1

2 sin^{3} (\frac{x}{2}) cos (\frac{x}{2}) = cos^{2} (\frac{x}{2}) sin (x)

(\frac{- 2}{2}) (sin (θ) - cos (θ)) = 0

3 \cdot sin (x) + 4 \cdot cos (x) = 2

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