What is the answer to x+1/x =sqrt(6) ?

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

Solve for x: x+1/x =sqrt(6)

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

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

x = \frac{6 + 2}{2}, x = \frac{6 - 2}{2}

Decimal Notation

x = 1.93185 \dots, x = 0.51763 \dots

Solution steps

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

Multiply both sides by

x

x^{2} + 1 = 6 x

Solve

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

x = \frac{6 + 2}{2}, x = \frac{6 - 2}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{6 + 2}{2}, x = \frac{6 - 2}{2}

\frac{x}{2 x - 1} = \frac{3 x}{5 x + 2}

0.8 = \frac{0.2}{x}

\frac{7.6 y + 9}{y + 2} = 7.8

4 = - \frac{2}{x}

\frac{6}{x} + \frac{2}{x} = - 5

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