What is the answer to x/(x^2-8)= 2/x ?

The answer to x/(x^2-8)= 2/x is x=4,x=-4

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x/(x^2-8)= 2/x

\frac{x}{x ^{2} - 8} = \frac{2}{x}

x = 4, x = - 4

Solution steps

\frac{x}{x ^{2} - 8} = \frac{2}{x}

Cross multiply

x^{2} = (x^{2} - 8) \cdot 2

Solve

x^{2} = (x^{2} - 8) \cdot 2 : x = 4, x = - 4

x = 4, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 22, x = 22, x = 0

Combine undefined points with solutions:

x = 4, x = - 4

\frac{6}{x} = lo g_{0.5} (0.4)

y, x = \frac{1}{1 + y ^{2}}

\frac{4}{3 x + 1} = \frac{x}{2 x + 10}

\frac{1}{x ^{4}} = x^{- 4}

\frac{5 x + 5}{7 x + 7} = \frac{5}{7}