What is the answer to 3/x+4/(x+1)=2 ?

The answer to 3/x+4/(x+1)=2 is x=3,x=-1/2

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3/x+4/(x+1)=2

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

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

Solution steps

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

Multiply by LCM

3 (x + 1) + 4 x = 2 x (x + 1)

Solve

3 (x + 1) + 4 x = 2 x (x + 1) : x = 3, x = - \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

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

\frac{9 y - 12 + 7}{y} = 0

\frac{4}{t - 3} = \frac{3}{t - 4}

\frac{2 π}{b} = 3 π

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

l, a = \frac{r}{2 l}