What is the answer to 6-x= 8/x ?

The answer to 6-x= 8/x is x=2,x=4

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6-x= 8/x

6 - x = \frac{8}{x}

x = 2, x = 4

Solution steps

6 - x = \frac{8}{x}

Multiply both sides by

x

6 x - x^{2} = 8

Solve

6 x - x^{2} = 8 : x = 2, x = 4

x = 2, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = 4

\frac{3}{x + 1} = \frac{9}{x ^{2} - 3 x - 4}

\frac{r}{6} + \frac{r - 1}{r} = \frac{7}{6}

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

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

x + \frac{6}{x} = 4