What is the answer to 1/3 =(2x)/(x^2-1) ?

The answer to 1/3 =(2x)/(x^2-1) is x=3+sqrt(10),x=3-sqrt(10)

Solve for x: 1/3 =(2x)/(x^2-1)

The solution is x=3+sqrt(10),x=3-sqrt(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{1}{3} = \frac{2 x}{x ^{2} - 1}

x = 3 + 10, x = 3 - 10

Decimal Notation

x = 6.16227 \dots, x = - 0.16227 \dots

Solution steps

\frac{1}{3} = \frac{2 x}{x ^{2} - 1}

Cross multiply

x^{2} - 1 = 6 x

Solve

x^{2} - 1 = 6 x : x = 3 + 10, x = 3 - 10

x = 3 + 10, x = 3 - 10

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 3 + 10, x = 3 - 10

y = \frac{1}{y ^{2}}

6 \cdot 3 y = \frac{4}{y} - 8

0 = \frac{8}{x}

\frac{2}{x} \cdot + 9 = 5

\frac{144}{y ^{2}} + y^{2} = 40

What is the answer to 1/3 =(2x)/(x^2-1) ?
The answer to 1/3 =(2x)/(x^2-1) is x=3+sqrt(10),x=3-sqrt(10)
Solve for x: 1/3 =(2x)/(x^2-1)
The solution is x=3+sqrt(10),x=3-sqrt(10)