What is the answer to 0.5= 1/(x^2-x) ?

The answer to 0.5= 1/(x^2-x) is x=2,x=-1

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0.5= 1/(x^2-x)

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

x = 2, x = - 1

Solution steps

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

Multiply both sides by

x^{2} - x

0.5 (x^{2} - x) = 1

Solve

0.5 (x^{2} - x) = 1 : x = 2, x = - 1

x = 2, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = 2, x = - 1

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

\frac{2}{5} = \frac{6}{q + 11}

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

R V = \frac{4 π ^{2} R ^{3}}{T ^{2}}

\frac{x}{x + 4} + \frac{x}{x + 1} = 1