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

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

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

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

x = 1

Solution steps

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

Multiply by LCM

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

Solve

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

x = 1

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Combine undefined points with solutions:

x = 1

0 = \frac{1}{2 x}

x, \frac{m}{x} = p - n

\frac{x - 7}{2 x} + 1 = \frac{x + 3}{x}

∣ x - 1 ∣ = \frac{2}{x}

A, x = \frac{A}{1 + A}