What is the general solution for tan^2(x)-6tan(x)+5=0 ?

The general solution for tan^2(x)-6tan(x)+5=0 is x=1.37340…+pin,x= pi/4+pin

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tan^2(x)-6tan(x)+5=0

tan^{2} (x) - 6 tan (x) + 5 = 0

x = 1.37340 \dots + πn, x = \frac{π}{4} + πn

Solution steps

tan^{2} (x) - 6 tan (x) + 5 = 0

Solve by substitution

tan (x) = 5, tan (x) = 1

tan (x) = 5 : x = arctan (5) + πn

tan (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

x = arctan (5) + πn, x = \frac{π}{4} + πn

Show solutions in decimal form

x = 1.37340 \dots + πn, x = \frac{π}{4} + πn

tan (x) - 2 sin (x) = 0

sin (θ) = \frac{3}{7}

4 arcsin (x) = π

tan (t) = - 1

8 sec^{2} (x) + 4 tan^{2} (x) - 12 = 0

What is the general solution for tan^2(x)-6tan(x)+5=0 ?
The general solution for tan^2(x)-6tan(x)+5=0 is x=1.37340…+pin,x= pi/4+pin