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

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

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

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

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

Decimal Notation

x = 2, x = - 1.5

Solution steps

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

Multiply by LCM

2 x^{2} - 6 = x

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{2}{x + 2} + 5 = \frac{17}{x + 2}

x, x + \frac{1}{x} = 9

\frac{9}{5} = 2 - \frac{1}{x + 3}

\frac{4}{5} = \frac{12}{m}

\frac{3}{m + 4} = \frac{9}{14}

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