What is the answer to 1/x =-3x-5 ?

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

Solve for x: 1/x =-3x-5

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

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\frac{1}{x} = - 3 x - 5

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

Decimal Notation

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

Solution steps

\frac{1}{x} = - 3 x - 5

Multiply both sides by

x

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

Solve

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

3 x^{- 2} - 7 x^{- 1} - 6 = 0

x, z = \frac{x y}{x - y}

\frac{2 ( - 1 + x )}{x} - 1 = 0

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

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