What is the answer to 6/x-x=1 ?

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

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6/x-x=1

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

x = - 3, x = 2

Solution steps

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

Multiply both sides by

x

6 - x^{2} = x

Solve

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

x = - 3, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3, x = 2

x + 3 + \frac{3}{x} = 0

\frac{x ^{2}}{55 - x} = 0.2

\frac{60}{x} + 15 = \frac{60}{x + 1}

\frac{( x + 2 )}{x} + x = \frac{74}{x}

\frac{3 x}{4} = \frac{6}{2 x}