What is the answer to 8/x+7/(3x)=x+2 ?

The answer to 8/x+7/(3x)=x+2 is x=(-3+sqrt(102))/3 ,x=-(3+sqrt(102))/3

Solve for x: 8/x+7/(3x)=x+2

The solution is x=(-3+sqrt(102))/3 ,x=-(3+sqrt(102))/3

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\frac{8}{x} + \frac{7}{3 x} = x + 2

x = \frac{- 3 + 102}{3}, x = - \frac{3 + 102}{3}

Decimal Notation

x = 2.36650 \dots, x = - 4.36650 \dots

Solution steps

\frac{8}{x} + \frac{7}{3 x} = x + 2

Multiply by LCM

31 = 3 x^{2} + 6 x

Solve

31 = 3 x^{2} + 6 x : x = \frac{- 3 + 102}{3}, x = - \frac{3 + 102}{3}

x = \frac{- 3 + 102}{3}, x = - \frac{3 + 102}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 3 + 102}{3}, x = - \frac{3 + 102}{3}

R, \frac{P V}{n R} = T

65 = \frac{4.23}{( 0.13 - x )}

\frac{0.4}{x} = 2

\frac{2 x - 2}{3 x + 1} = \frac{4}{7}

\frac{3 x + 5}{8 x} = x

What is the answer to 8/x+7/(3x)=x+2 ?
The answer to 8/x+7/(3x)=x+2 is x=(-3+sqrt(102))/3 ,x=-(3+sqrt(102))/3
Solve for x: 8/x+7/(3x)=x+2
The solution is x=(-3+sqrt(102))/3 ,x=-(3+sqrt(102))/3