What is the answer to 3+1/(x^2)=-5/x ?

The answer to 3+1/(x^2)=-5/x is x=(-5+sqrt(13))/6 ,x=(-5-sqrt(13))/6

Solve for x: 3+1/(x^2)=-5/x

The solution is x=(-5+sqrt(13))/6 ,x=(-5-sqrt(13))/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 + \frac{1}{x ^{2}} = - \frac{5}{x}

x = \frac{- 5 + 13}{6}, x = \frac{- 5 - 13}{6}

Decimal Notation

x = - 0.23240 \dots, x = - 1.43425 \dots

Solution steps

3 + \frac{1}{x ^{2}} = - \frac{5}{x}

Multiply by LCM

3 x^{2} + 1 = - 5 x

Solve

3 x^{2} + 1 = - 5 x : x = \frac{- 5 + 13}{6}, x = \frac{- 5 - 13}{6}

x = \frac{- 5 + 13}{6}, x = \frac{- 5 - 13}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 5 + 13}{6}, x = \frac{- 5 - 13}{6}

\frac{a + x}{b + x} = \frac{b}{a}

\frac{11 d + 2}{d - 8} = - \frac{3}{2}

y, x = \frac{3 - 5 y}{2 y + 1}

\frac{4}{x} - \frac{3}{2 x} = 9

\frac{2}{5} = \frac{3}{x} - 2

What is the answer to 3+1/(x^2)=-5/x ?
The answer to 3+1/(x^2)=-5/x is x=(-5+sqrt(13))/6 ,x=(-5-sqrt(13))/6
Solve for x: 3+1/(x^2)=-5/x
The solution is x=(-5+sqrt(13))/6 ,x=(-5-sqrt(13))/6