What is the answer to x+5= 1/x ?

The answer to x+5= 1/x is x=(-5+sqrt(29))/2 ,x=(-5-sqrt(29))/2

Solve for x: x+5= 1/x

The solution is x=(-5+sqrt(29))/2 ,x=(-5-sqrt(29))/2

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

x = \frac{- 5 + 29}{2}, x = \frac{- 5 - 29}{2}

Decimal Notation

x = 0.19258 \dots, x = - 5.19258 \dots

Solution steps

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

Multiply both sides by

x

x^{2} + 5 x = 1

Solve

x^{2} + 5 x = 1 : x = \frac{- 5 + 29}{2}, x = \frac{- 5 - 29}{2}

x = \frac{- 5 + 29}{2}, x = \frac{- 5 - 29}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 5 + 29}{2}, x = \frac{- 5 - 29}{2}

\frac{2}{x - 2} + 5 = \frac{17}{x - 2}

37.5 = \frac{150}{( 334.76811 - x )}

9 = \frac{78}{x}

\frac{32}{x} = \frac{x}{2}

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

What is the answer to x+5= 1/x ?
The answer to x+5= 1/x is x=(-5+sqrt(29))/2 ,x=(-5-sqrt(29))/2
Solve for x: x+5= 1/x
The solution is x=(-5+sqrt(29))/2 ,x=(-5-sqrt(29))/2