What is the answer to 3/x =3x+4 ?

The answer to 3/x =3x+4 is x=(-2+sqrt(13))/3 ,x=-(2+sqrt(13))/3

Solve for x: 3/x =3x+4

The solution is x=(-2+sqrt(13))/3 ,x=-(2+sqrt(13))/3

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\frac{3}{x} = 3 x + 4

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

Decimal Notation

x = 0.53518 \dots, x = - 1.86851 \dots

Solution steps

\frac{3}{x} = 3 x + 4

Multiply both sides by

x

3 = 3 x^{2} + 4 x

Solve

3 = 3 x^{2} + 4 x : x = \frac{- 2 + 13}{3}, x = - \frac{2 + 13}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{x - 8}{x + 2} = \frac{x - 1}{2 x + 10}

\frac{x}{2 x - 1} - \frac{6}{4 - x} = 3

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

\frac{6}{x ^{2}} = 0

\frac{6}{x + 2} = \frac{2}{5}

What is the answer to 3/x =3x+4 ?
The answer to 3/x =3x+4 is x=(-2+sqrt(13))/3 ,x=-(2+sqrt(13))/3
Solve for x: 3/x =3x+4
The solution is x=(-2+sqrt(13))/3 ,x=-(2+sqrt(13))/3