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

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

Solve for x: x+1= 1/x

The solution is x=(-1+sqrt(5))/2 ,x=(-1-sqrt(5))/2

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

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

Solution steps

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

Multiply both sides by

x

x^{2} + x = 1

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{2 ( x ^{4} - 1 )}{x ^{3}} = 0

\frac{4}{20} = \frac{7}{x}

x - \frac{1}{x} = 5

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

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

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