What is the answer to x/(x+2)-4=(x+1)/x ?

The answer to x/(x+2)-4=(x+1)/x is x=(-11+sqrt(89))/8 ,x=(-11-sqrt(89))/8

Solve for x: x/(x+2)-4=(x+1)/x

The solution is x=(-11+sqrt(89))/8 ,x=(-11-sqrt(89))/8

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\frac{x}{x + 2} - 4 = \frac{x + 1}{x}

x = \frac{- 11 + 89}{8}, x = \frac{- 11 - 89}{8}

Decimal Notation

x = - 0.19575 \dots, x = - 2.55424 \dots

Solution steps

\frac{x}{x + 2} - 4 = \frac{x + 1}{x}

Multiply by LCM

x^{2} - 4 x (x + 2) = (x + 1) (x + 2)

Solve

x^{2} - 4 x (x + 2) = (x + 1) (x + 2) : x = \frac{- 11 + 89}{8}, x = \frac{- 11 - 89}{8}

x = \frac{- 11 + 89}{8}, x = \frac{- 11 - 89}{8}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = \frac{- 11 + 89}{8}, x = \frac{- 11 - 89}{8}

2 q + 2 = q + 2 + \frac{25}{q}

\frac{10}{x} = \frac{8}{4}

3125000 = 5400000 (1 + x)^{- 3}

\frac{15}{x} = 0

\frac{6}{x} = \frac{x - 2}{x - 1}

What is the answer to x/(x+2)-4=(x+1)/x ?
The answer to x/(x+2)-4=(x+1)/x is x=(-11+sqrt(89))/8 ,x=(-11-sqrt(89))/8
Solve for x: x/(x+2)-4=(x+1)/x
The solution is x=(-11+sqrt(89))/8 ,x=(-11-sqrt(89))/8