What is the answer to 4+1/x-1/(x^2)=0 ?

The answer to 4+1/x-1/(x^2)=0 is x=(-1+sqrt(17))/8 ,x=(-1-sqrt(17))/8

Solve for x: 4+1/x-1/(x^2)=0

The solution is x=(-1+sqrt(17))/8 ,x=(-1-sqrt(17))/8

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4 + \frac{1}{x} - \frac{1}{x ^{2}} = 0

x = \frac{- 1 + 17}{8}, x = \frac{- 1 - 17}{8}

Decimal Notation

x = 0.39038 \dots, x = - 0.64038 \dots

Solution steps

4 + \frac{1}{x} - \frac{1}{x ^{2}} = 0

Multiply by LCM

4 x^{2} + x - 1 = 0

Solve

4 x^{2} + x - 1 = 0 : x = \frac{- 1 + 17}{8}, x = \frac{- 1 - 17}{8}

x = \frac{- 1 + 17}{8}, x = \frac{- 1 - 17}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 1 + 17}{8}, x = \frac{- 1 - 17}{8}

- 2 + \frac{x}{x + 2} = - \frac{7}{x + 2}

6 + \frac{x}{x + 1} = - \frac{1}{x + 1}

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

\frac{4 x}{3 x - 12} = \frac{1}{x - 4}

x - \frac{3}{x - 7} = \frac{5}{x - 7}

What is the answer to 4+1/x-1/(x^2)=0 ?
The answer to 4+1/x-1/(x^2)=0 is x=(-1+sqrt(17))/8 ,x=(-1-sqrt(17))/8
Solve for x: 4+1/x-1/(x^2)=0
The solution is x=(-1+sqrt(17))/8 ,x=(-1-sqrt(17))/8