What is the general solution for tan^2(x)+tan(x)-12=2 ?

The general solution for tan^2(x)+tan(x)-12=2 is x=1.27443…+pin,x=-1.34100…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan^2(x)+tan(x)-12=2

tan^{2} (x) + tan (x) - 12 = 2

x = 1.27443 \dots + πn, x = - 1.34100 \dots + πn

Solution steps

tan^{2} (x) + tan (x) - 12 = 2

Solve by substitution

tan (x) = \frac{- 1 + 57}{2}, tan (x) = \frac{- 1 - 57}{2}

tan (x) = \frac{- 1 + 57}{2} : x = arctan (\frac{- 1 + 57}{2}) + πn

tan (x) = \frac{- 1 - 57}{2} : x = arctan (\frac{- 1 - 57}{2}) + πn

Combine all the solutions

x = arctan (\frac{- 1 + 57}{2}) + πn, x = arctan (\frac{- 1 - 57}{2}) + πn

Show solutions in decimal form

x = 1.27443 \dots + πn, x = - 1.34100 \dots + πn

x, cos^{2} (x + x y) = \frac{3}{2}

sin (o) = \frac{3}{5}

a cos (x) = cos (x)

4674.04 = \frac{5}{3 cos ( x )} \cdot 2804.42

sin (A) + 3 cos (A) = 0

What is the general solution for tan^2(x)+tan(x)-12=2 ?
The general solution for tan^2(x)+tan(x)-12=2 is x=1.27443…+pin,x=-1.34100…+pin