What is the answer to x+(1/x)=10 ?

The answer to x+(1/x)=10 is x=5+2sqrt(6),x=5-2sqrt(6)

Solve for x: x+(1/x)=10

The solution is x=5+2sqrt(6),x=5-2sqrt(6)

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x + (\frac{1}{x}) = 10

x = 5 + 26, x = 5 - 26

Decimal Notation

x = 9.89897 \dots, x = 0.10102 \dots

Solution steps

x + (\frac{1}{x}) = 10

Simplify

(\frac{1}{x}) : \frac{1}{x}

x + \frac{1}{x} = 10

Multiply both sides by

x

x^{2} + 1 = 10 x

Solve

x^{2} + 1 = 10 x : x = 5 + 26, x = 5 - 26

x = 5 + 26, x = 5 - 26

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5 + 26, x = 5 - 26

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

\frac{x}{x + 10} = \frac{1}{5}

\frac{12}{y} + y = 6

\frac{1}{x + 2} - 1 = \frac{4}{x + 2}

2 π f = \frac{1}{2 π f}

What is the answer to x+(1/x)=10 ?
The answer to x+(1/x)=10 is x=5+2sqrt(6),x=5-2sqrt(6)
Solve for x: x+(1/x)=10
The solution is x=5+2sqrt(6),x=5-2sqrt(6)