What is the answer to 2/(x+1)+5= 1/x ?

The answer to 2/(x+1)+5= 1/x is x=(-3+sqrt(14))/5 ,x=-(3+sqrt(14))/5

Solve for x: 2/(x+1)+5= 1/x

The solution is x=(-3+sqrt(14))/5 ,x=-(3+sqrt(14))/5

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

x = \frac{- 3 + 14}{5}, x = - \frac{3 + 14}{5}

Decimal

x = 0.14833 \dots, x = - 1.34833 \dots

Solution steps

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

Multiply by LCM

2 x + 5 x (x + 1) = x + 1

Solve

2 x + 5 x (x + 1) = x + 1 : x = \frac{- 3 + 14}{5}, x = - \frac{3 + 14}{5}

x = \frac{- 3 + 14}{5}, x = - \frac{3 + 14}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Combine undefined points with solutions:

x = \frac{- 3 + 14}{5}, x = - \frac{3 + 14}{5}

\frac{x}{7 - 2 x} = 6

\frac{10}{x} - \frac{12}{x - 3} + 4 = 0

\frac{1}{x + 2} + \frac{24}{x + 3} = 13

\frac{2}{3 x} = \frac{1}{9}

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

What is the answer to 2/(x+1)+5= 1/x ?
The answer to 2/(x+1)+5= 1/x is x=(-3+sqrt(14))/5 ,x=-(3+sqrt(14))/5
Solve for x: 2/(x+1)+5= 1/x
The solution is x=(-3+sqrt(14))/5 ,x=-(3+sqrt(14))/5