What is the general solution for tan^2(x)-6tan(x)+1=0 ?

The general solution for tan^2(x)-6tan(x)+1=0 is x=1.40087…+pin,x=0.16991…+pin

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tan^2(x)-6tan(x)+1=0

tan^{2} (x) - 6 tan (x) + 1 = 0

x = 1.40087 \dots + πn, x = 0.16991 \dots + πn

Solution steps

tan^{2} (x) - 6 tan (x) + 1 = 0

Solve by substitution

tan (x) = 3 + 22, tan (x) = 3 - 22

tan (x) = 3 + 22 : x = arctan (3 + 22) + πn

tan (x) = 3 - 22 : x = arctan (3 - 22) + πn

Combine all the solutions

x = arctan (3 + 22) + πn, x = arctan (3 - 22) + πn

Show solutions in decimal form

x = 1.40087 \dots + πn, x = 0.16991 \dots + πn

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

sin (a) = 0.25

3 tan^{2} (x + 1 5^{\circ}) - 1 = 0

3 sin^{4} (x) + cos^{4} (x) = 1

sec (3 x) = 5

What is the general solution for tan^2(x)-6tan(x)+1=0 ?
The general solution for tan^2(x)-6tan(x)+1=0 is x=1.40087…+pin,x=0.16991…+pin