What is the answer to 1/(x^2)+1/x =6 ?

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

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1/(x^2)+1/x =6

\frac{1}{x ^{2}} + \frac{1}{x} = 6

x = \frac{1}{2}, x = - \frac{1}{3}

Decimal Notation

x = 0.5, x = - 0.33333 \dots

Solution steps

\frac{1}{x ^{2}} + \frac{1}{x} = 6

Multiply by LCM

1 + x = 6 x^{2}

Solve

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

x = \frac{1}{2}, x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}, x = - \frac{1}{3}

x + 3 = \frac{4 x + 8}{x + 3}

\frac{4}{x} = \frac{7.5}{95}

x = \frac{32}{x - 3} + 3

\frac{x ^{2} + x}{x ^{2} + 4 x - 12} = 0

x \frac{10}{x + 18} = \frac{x + 1}{6}

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