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

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

1 = \frac{10}{x}

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

x + \frac{1}{x} = 94

\frac{2}{2 x - 6} = \frac{x + 8}{15}

5 = (\frac{6.9 \cdot 21}{1 + 6.9 x})

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)