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

The general solution for tan^2(x)-5tan(x)-6=0 is x=1.40564…+pin,x=(3pi)/4+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 1.40564 \dots + πn, x = \frac{3 π}{4} + πn

Solution steps

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

Solve by substitution

tan (x) = 6, tan (x) = - 1

tan (x) = 6 : x = arctan (6) + πn

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

Combine all the solutions

x = arctan (6) + πn, x = \frac{3 π}{4} + πn

Show solutions in decimal form

x = 1.40564 \dots + πn, x = \frac{3 π}{4} + πn

tan (θ) = \frac{12}{5}

2 cos^{2} (t) = 1 - cos (t)

sec^{2} (θ) + sec (θ) = 0

cos (2 x) - 3 cos (x) + 2 = 0

2 cos (θ) + 3 = 2

What is the general solution for tan^2(x)-5tan(x)-6=0 ?
The general solution for tan^2(x)-5tan(x)-6=0 is x=1.40564…+pin,x=(3pi)/4+pin