What is the answer to 4/(x+1)-8/x =-1 ?

The answer to 4/(x+1)-8/x =-1 is x=-(-3+sqrt(41))/2 ,x=(3+sqrt(41))/2

Solve for x: 4/(x+1)-8/x =-1

The solution is x=-(-3+sqrt(41))/2 ,x=(3+sqrt(41))/2

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\frac{4}{x + 1} - \frac{8}{x} = - 1

x = - \frac{- 3 + 41}{2}, x = \frac{3 + 41}{2}

Decimal Notation

x = - 1.70156 \dots, x = 4.70156 \dots

Solution steps

\frac{4}{x + 1} - \frac{8}{x} = - 1

Multiply by LCM

4 x - 8 (x + 1) = - x (x + 1)

Solve

4 x - 8 (x + 1) = - x (x + 1) : x = - \frac{- 3 + 41}{2}, x = \frac{3 + 41}{2}

x = - \frac{- 3 + 41}{2}, x = \frac{3 + 41}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Combine undefined points with solutions:

x = - \frac{- 3 + 41}{2}, x = \frac{3 + 41}{2}

\frac{3}{x + 1} + 2 = \frac{11}{x + 1}

2 (x - 4) (\frac{240}{x} - 4) = 264

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

x, y = \frac{y}{x}

\frac{x + 3}{x + 4} = 0

What is the answer to 4/(x+1)-8/x =-1 ?
The answer to 4/(x+1)-8/x =-1 is x=-(-3+sqrt(41))/2 ,x=(3+sqrt(41))/2
Solve for x: 4/(x+1)-8/x =-1
The solution is x=-(-3+sqrt(41))/2 ,x=(3+sqrt(41))/2