What is the general solution for tan^2(x)+4tan(x)+3=0 ?

The general solution for tan^2(x)+4tan(x)+3=0 is x=(3pi)/4+pin,x=-1.24904…+pin

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tan^2(x)+4tan(x)+3=0

tan^{2} (x) + 4 tan (x) + 3 = 0

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

Solution steps

tan^{2} (x) + 4 tan (x) + 3 = 0

Solve by substitution

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

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

tan (x) = - 3 : x = arctan (- 3) + πn

Combine all the solutions

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

Show solutions in decimal form

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

(1 + tan (x))^{2} + (1 - tan (x))^{2} = sec^{2} (x)

tan (x) = - \frac{2}{2}

cot (x) = 1.2

cos (\frac{3}{2} π - x) + sin (4 x) = 0

tan (x) = \frac{30}{100}

What is the general solution for tan^2(x)+4tan(x)+3=0 ?
The general solution for tan^2(x)+4tan(x)+3=0 is x=(3pi)/4+pin,x=-1.24904…+pin