What is the answer to x+(1/x)=3 ?

The answer to x+(1/x)=3 is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2

Solve for x: x+(1/x)=3

The solution is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2

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x + (\frac{1}{x}) = 3

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

Solution steps

x + (\frac{1}{x}) = 3

Simplify

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

x + \frac{1}{x} = 3

Multiply both sides by

x

x^{2} + 1 = 3 x

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

(- 3) (- \frac{18}{k - 3}) = 30

\frac{2 α}{1 - α} = 113.49

- 0.91 = \frac{550500 - 562750}{x}

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

t, A = (\frac{1}{t})

What is the answer to x+(1/x)=3 ?
The answer to x+(1/x)=3 is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2
Solve for x: x+(1/x)=3
The solution is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2