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

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

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

The solution is x=-1+sqrt(3),x=-1-sqrt(3)

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

x = - 1 + 3, x = - 1 - 3

Decimal Notation

x = 0.73205 \dots, x = - 2.73205 \dots

Solution steps

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

Multiply by LCM

x (x - 2) - x (x + 1) = (x + 1) (x - 2)

Solve

x (x - 2) - x (x + 1) = (x + 1) (x - 2) : x = - 1 + 3, x = - 1 - 3

x = - 1 + 3, x = - 1 - 3

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 2

Combine undefined points with solutions:

x = - 1 + 3, x = - 1 - 3

\frac{2}{4} = \frac{12}{x}

z, w = \frac{x + 6}{y + z}

0 = \frac{1}{\frac{1}{x}}

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

p = \frac{w}{t}, t

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