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

The answer to 1/x-1/(x+1)=3 is x=(-3+sqrt(21))/6 ,x=(-3-sqrt(21))/6

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

The solution is x=(-3+sqrt(21))/6 ,x=(-3-sqrt(21))/6

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

x = \frac{- 3 + 21}{6}, x = \frac{- 3 - 21}{6}

Decimal Notation

x = 0.26376 \dots, x = - 1.26376 \dots

Solution steps

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

Multiply by LCM

1 = 3 x (x + 1)

Solve

1 = 3 x (x + 1) : x = \frac{- 3 + 21}{6}, x = \frac{- 3 - 21}{6}

x = \frac{- 3 + 21}{6}, x = \frac{- 3 - 21}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = \frac{- 3 + 21}{6}, x = \frac{- 3 - 21}{6}

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

\frac{4 x}{33 + x} = \frac{1}{3}

a, z = b + \frac{m}{a}

\frac{1}{x} + \frac{2}{x - 5} = 0

\frac{5}{x + 4} = 4 + \frac{3}{x - 2}

What is the answer to 1/x-1/(x+1)=3 ?
The answer to 1/x-1/(x+1)=3 is x=(-3+sqrt(21))/6 ,x=(-3-sqrt(21))/6
Solve for x: 1/x-1/(x+1)=3
The solution is x=(-3+sqrt(21))/6 ,x=(-3-sqrt(21))/6