What is the answer to 5/(x+1)=1+4/(x+2) ?

The answer to 5/(x+1)=1+4/(x+2) is x=-1+sqrt(5),x=-1-sqrt(5)

Solve for x: 5/(x+1)=1+4/(x+2)

The solution is x=-1+sqrt(5),x=-1-sqrt(5)

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

x = - 1 + 5, x = - 1 - 5

Decimal Notation

x = 1.23606 \dots, x = - 3.23606 \dots

Solution steps

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

Multiply by LCM

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

Solve

5 (x + 2) = (x + 1) (x + 2) + 4 (x + 1) : x = - 1 + 5, x = - 1 - 5

x = - 1 + 5, x = - 1 - 5

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = - 2

Combine undefined points with solutions:

x = - 1 + 5, x = - 1 - 5

x - \frac{5}{4 x} = \frac{9}{4}

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

\frac{x ^{2} - 1}{x - 1} = 0

\frac{2}{5} = \frac{7}{x}

- \frac{4}{x - 1} = - \frac{4}{3}

What is the answer to 5/(x+1)=1+4/(x+2) ?
The answer to 5/(x+1)=1+4/(x+2) is x=-1+sqrt(5),x=-1-sqrt(5)
Solve for x: 5/(x+1)=1+4/(x+2)
The solution is x=-1+sqrt(5),x=-1-sqrt(5)