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

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

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6/x =x+5

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

x = 1, x = - 6

Solution steps

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

Multiply both sides by

x

6 = x^{2} + 5 x

Solve

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

x = 1, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 6

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

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

2 = \frac{9}{b - 5}

x + x^{- 1} = 0

\frac{396.1}{17} = \frac{699}{x}