What is the answer to x/(x+1)+(x+1)/x = 13/6 ?

The answer to x/(x+1)+(x+1)/x = 13/6 is x=-3,x=2

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x/(x+1)+(x+1)/x = 13/6

\frac{x}{x + 1} + \frac{x + 1}{x} = \frac{13}{6}

x = - 3, x = 2

Solution steps

\frac{x}{x + 1} + \frac{x + 1}{x} = \frac{13}{6}

Multiply by LCM

6 x^{2} + 6 (x + 1)^{2} = 13 x (x + 1)

Solve

6 x^{2} + 6 (x + 1)^{2} = 13 x (x + 1) : x = - 3, x = 2

x = - 3, x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Combine undefined points with solutions:

x = - 3, x = 2

\frac{5 x}{x - 4} = \frac{3 x}{2 x + 7}

\frac{3}{x} + \frac{2}{x - 1} = 6

\frac{32 x}{( 25 - x ^{2} ) ^{2}} = 0

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

\frac{1}{x} + \frac{1}{x + 1} = \frac{7}{12}

What is the answer to x/(x+1)+(x+1)/x = 13/6 ?
The answer to x/(x+1)+(x+1)/x = 13/6 is x=-3,x=2
Solve for x: x/(x+1)+(x+1)/x = 13/6
The solution is x=-3,x=2