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

The answer to x/(x+1)+x/(x+4)=1 is x=2,x=-2

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x/(x+1)+x/(x+4)=1

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

x = 2, x = - 2

Solution steps

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

Multiply by LCM

x (x + 4) + x (x + 1) = (x + 1) (x + 4)

Solve

x (x + 4) + x (x + 1) = (x + 1) (x + 4) : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = - 4

Combine undefined points with solutions:

x = 2, x = - 2

a^{- n} = \frac{1}{a ^{n}}

\frac{5}{2 x} + 3 = \frac{6}{x} - 2

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

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

y, \frac{x}{y} + 9 = n

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