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

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

Solve for x: 3/(x+2)= x/(x+1)

The solution is x=(1+sqrt(13))/2 ,x=(1-sqrt(13))/2

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

x = \frac{1 + 13}{2}, x = \frac{1 - 13}{2}

Decimal Notation

x = 2.30277 \dots, x = - 1.30277 \dots

Solution steps

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

Cross multiply

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

Solve

3 (x + 1) = (x + 2) x : x = \frac{1 + 13}{2}, x = \frac{1 - 13}{2}

x = \frac{1 + 13}{2}, x = \frac{1 - 13}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 1

Combine undefined points with solutions:

x = \frac{1 + 13}{2}, x = \frac{1 - 13}{2}

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

\frac{3}{x} = \frac{2}{6}

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

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

\frac{5}{x + 1} = 1 + \frac{4}{x + 2}

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