What is the answer to 2x-1/x =x ?

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

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2x-1/x =x

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

x = 1, x = - 1

Solution steps

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

Multiply both sides by

x

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

Solve

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

x = 1, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 1

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

\frac{x}{- 3 x - 3} = - 3 (x + 1)

\frac{5}{x ^{2} + 16 x + 89} = 0

\frac{2}{11} = \frac{12}{d}

\frac{( 10 x + 4 )}{x - 5} = 4