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

The general solution for 3tan^2(x)+4tan(x)-3=0 is x=0.49139…+pin,x=-1.07939…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 0.49139 \dots + πn, x = - 1.07939 \dots + πn

Solution steps

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

Solve by substitution

tan (x) = \frac{- 2 + 13}{3}, tan (x) = - \frac{2 + 13}{3}

tan (x) = \frac{- 2 + 13}{3} : x = arctan (\frac{- 2 + 13}{3}) + πn

tan (x) = - \frac{2 + 13}{3} : x = arctan (- \frac{2 + 13}{3}) + πn

Combine all the solutions

x = arctan (\frac{- 2 + 13}{3}) + πn, x = arctan (- \frac{2 + 13}{3}) + πn

Show solutions in decimal form

x = 0.49139 \dots + πn, x = - 1.07939 \dots + πn

sin (2 x) = 3 cos (x), 0 \leq x \leq 2 π

2 tan (A) - 1 = 0

cos^{2} (t) + \frac{9}{49} = 1

4 tan (x) + cot (x) = 5

75 = arcsin (\frac{1.4}{x})

What is the general solution for 3tan^2(x)+4tan(x)-3=0 ?
The general solution for 3tan^2(x)+4tan(x)-3=0 is x=0.49139…+pin,x=-1.07939…+pin