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

The answer to 2/x-5/(x+2)=1 is x=(-5+sqrt(41))/2 ,x=(-5-sqrt(41))/2

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

The solution is x=(-5+sqrt(41))/2 ,x=(-5-sqrt(41))/2

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

x = \frac{- 5 + 41}{2}, x = \frac{- 5 - 41}{2}

Decimal Notation

x = 0.70156 \dots, x = - 5.70156 \dots

Solution steps

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

Multiply by LCM

2 (x + 2) - 5 x = x (x + 2)

Solve

2 (x + 2) - 5 x = x (x + 2) : x = \frac{- 5 + 41}{2}, x = \frac{- 5 - 41}{2}

x = \frac{- 5 + 41}{2}, x = \frac{- 5 - 41}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = \frac{- 5 + 41}{2}, x = \frac{- 5 - 41}{2}

\frac{x + 1}{3} = \frac{x + 5}{x}

\frac{2.4}{0.6} = \frac{170}{x}

\frac{3}{c} = - \frac{9}{64}

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

\frac{2}{x - 2} + 3 = \frac{11}{x - 2}

What is the answer to 2/x-5/(x+2)=1 ?
The answer to 2/x-5/(x+2)=1 is x=(-5+sqrt(41))/2 ,x=(-5-sqrt(41))/2
Solve for x: 2/x-5/(x+2)=1
The solution is x=(-5+sqrt(41))/2 ,x=(-5-sqrt(41))/2