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

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

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

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

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

Decimal Notation

x = 0.5, x = - 0.33333 \dots

Solution steps

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

Multiply by LCM

6 x^{2} - x = 1

Solve

6 x^{2} - x = 1 : 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}

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

\frac{28 x}{3 x - 1} = 10

f, f^{- 1} (x) = x^{3} + 1

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

\frac{5}{x} - 2 = \frac{5}{4}

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