What is the answer to 3/x-x=2 ?

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

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3/x-x=2

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

x = - 3, x = 1

Solution steps

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

Multiply both sides by

x

3 - x^{2} = 2 x

Solve

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

x = - 3, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3, x = 1

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

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

2 x - 1 - \frac{1}{x} = 0

\frac{5}{x} + \frac{5}{2 x} = 6

\frac{3 x}{( x - 3 ) ( x - 4 )} = 2 x + 9