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

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

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

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1/x+x=3

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

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

Solution steps

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

Multiply both sides by

x

1 + x^{2} = 3 x

Solve

1 + x^{2} = 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}

\frac{10 x - 10}{x - 1} + 12 = x + 8

2 + \frac{7}{a - 7} = \frac{a}{a - 7}

\frac{2}{x} - 4 = - 8 x

(x + 5) (\frac{100}{x} - 1) = 100

x^{- n - 1} = \frac{1}{x ^{n + 1}}

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