What is the answer to (12)/x+x-8=0 ?

The answer to (12)/x+x-8=0 is x=6,x=2

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(12)/x+x-8=0

\frac{12}{x} + x - 8 = 0

x = 6, x = 2

Solution steps

\frac{12}{x} + x - 8 = 0

Multiply both sides by

x

12 + x^{2} - 8 x = 0

Solve

12 + x^{2} - 8 x = 0 : x = 6, x = 2

x = 6, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = 2

- \frac{18}{x + 5} = - \frac{8}{x}

\frac{5}{x ^{2} - 1} = \frac{1}{x - 1}

6 + \frac{4 x}{x - 1} = - 8 x

\frac{x + 2}{3} = \frac{4}{x - 2}

\frac{5}{6} = \frac{15}{x - 3}