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

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

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

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

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

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

Decimal Notation

x = 0.61803 \dots, x = - 1.61803 \dots

Solution steps

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

Multiply by LCM

1 = x (x + 1)

Solve

1 = x (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, x = - 1

Combine undefined points with solutions:

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

x = \frac{x ^{2}}{x - 2}

\frac{10}{x + 3} - \frac{2}{x} = 1

\frac{2 x}{x + 4} = 6 - \frac{8}{x + 4}

\frac{x}{x - 4} + 6 = \frac{4}{x - 4}

E, μ = \frac{3 K E}{9 K - E}

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