What is the answer to x+5/x =6 ?

The answer to x+5/x =6 is x=5,x=1

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x+5/x =6

x + \frac{5}{x} = 6

x = 5, x = 1

Solution steps

x + \frac{5}{x} = 6

Multiply both sides by

x

x^{2} + 5 = 6 x

Solve

x^{2} + 5 = 6 x : x = 5, x = 1

x = 5, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = 1

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

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

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

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

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