What is the answer to x/(x+1)-(x-1)/x = 1/20 ?

The answer to x/(x+1)-(x-1)/x = 1/20 is x=4,x=-5

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x/(x+1)-(x-1)/x = 1/20

\frac{x}{x + 1} - \frac{x - 1}{x} = \frac{1}{20}

x = 4, x = - 5

Solution steps

\frac{x}{x + 1} - \frac{x - 1}{x} = \frac{1}{20}

Multiply by LCM

20 x^{2} - 20 (x - 1) (x + 1) = x (x + 1)

Solve

20 x^{2} - 20 (x - 1) (x + 1) = x (x + 1) : x = 4, x = - 5

x = 4, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Combine undefined points with solutions:

x = 4, x = - 5

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

\frac{6}{x} - \frac{1}{2 x} = \frac{5}{x ^{2}}

h, h = 5 - \frac{k}{7 + k}

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

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

What is the answer to x/(x+1)-(x-1)/x = 1/20 ?
The answer to x/(x+1)-(x-1)/x = 1/20 is x=4,x=-5
Solve for x: x/(x+1)-(x-1)/x = 1/20
The solution is x=4,x=-5