What is the answer to 5x+1/x =6 ?

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

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5x+1/x =6

5 x + \frac{1}{x} = 6

x = 1, x = \frac{1}{5}

Decimal Notation

x = 1, x = 0.2

Solution steps

5 x + \frac{1}{x} = 6

Multiply both sides by

x

5 x^{2} + 1 = 6 x

Solve

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

x = 1, x = \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = \frac{1}{5}

\frac{1}{x} - \frac{1}{45} = \frac{1}{2 x - 3}

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

A, A^{2} X^{- 1} B A^{- 2} = A^{5} B A^{- 3}

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

- 1 - \frac{x}{x - 9} = \frac{1}{x - 9}