What is the answer to 1/x = 3/(x^2)-2 ?

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

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1/x = 3/(x^2)-2

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

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

Decimal Notation

x = - 1.5, x = 1

Solution steps

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

Multiply by LCM

x = 3 - 2 x^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

0.5 = \frac{( 1 - x )}{( 1 - 0.5 x )}

4 + (\frac{1}{x} - 2) = 40

x^{- 2} - 9 x^{- 1} + 20 = 0

\frac{( 4.3 x + 89.904 )}{50 + x} = 3

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

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