What is the answer to 1/x-2/(x+1)=3 ?

The answer to 1/x-2/(x+1)=3 is x=(-2+sqrt(7))/3 ,x=-(2+sqrt(7))/3

Solve for x: 1/x-2/(x+1)=3

The solution is x=(-2+sqrt(7))/3 ,x=-(2+sqrt(7))/3

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

x = \frac{- 2 + 7}{3}, x = - \frac{2 + 7}{3}

Decimal Notation

x = 0.21525 \dots, x = - 1.54858 \dots

Solution steps

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

Multiply by LCM

- x + 1 = 3 x (x + 1)

Solve

- x + 1 = 3 x (x + 1) : x = \frac{- 2 + 7}{3}, x = - \frac{2 + 7}{3}

x = \frac{- 2 + 7}{3}, x = - \frac{2 + 7}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = \frac{- 2 + 7}{3}, x = - \frac{2 + 7}{3}

\frac{1}{3 x - 2} + \frac{5}{x} = 0

(x) = \frac{1}{x}

- \frac{210}{( x + 10 ) ^{2}} = 0

\frac{x - 5}{6} = \frac{3}{x - 8}

f, 3 n = \frac{g}{f} + m

What is the answer to 1/x-2/(x+1)=3 ?
The answer to 1/x-2/(x+1)=3 is x=(-2+sqrt(7))/3 ,x=-(2+sqrt(7))/3
Solve for x: 1/x-2/(x+1)=3
The solution is x=(-2+sqrt(7))/3 ,x=-(2+sqrt(7))/3