What is the answer to x/(x+1)= 5/(x+5) ?

The answer to x/(x+1)= 5/(x+5) is x=sqrt(5),x=-sqrt(5)

Solve for x: x/(x+1)= 5/(x+5)

The solution is x=sqrt(5),x=-sqrt(5)

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

x = 5, x = - 5

Decimal Notation

x = 2.23606 \dots, x = - 2.23606 \dots

Solution steps

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

Cross multiply

x (x + 5) = (x + 1) \cdot 5

Solve

x (x + 5) = (x + 1) \cdot 5 : x = 5, x = - 5

x = 5, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = - 5

Combine undefined points with solutions:

x = 5, x = - 5

\frac{3}{5} = \frac{15}{x}

\frac{18}{x} = 6

\frac{4}{x} = \frac{2}{21}

\frac{x ^{2} - 3 x - 10}{1 - x} = 2

x^{- 2} + 2 x + 1 = 0

What is the answer to x/(x+1)= 5/(x+5) ?
The answer to x/(x+1)= 5/(x+5) is x=sqrt(5),x=-sqrt(5)
Solve for x: x/(x+1)= 5/(x+5)
The solution is x=sqrt(5),x=-sqrt(5)