What is the answer to 5/(x-1)+(30)/(x+1)=5 ?

The answer to 5/(x-1)+(30)/(x+1)=5 is x=(7+sqrt(33))/2 ,x=(7-sqrt(33))/2

Solve for x: 5/(x-1)+(30)/(x+1)=5

The solution is x=(7+sqrt(33))/2 ,x=(7-sqrt(33))/2

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\frac{5}{x - 1} + \frac{30}{x + 1} = 5

x = \frac{7 + 33}{2}, x = \frac{7 - 33}{2}

Decimal Notation

x = 6.37228 \dots, x = 0.62771 \dots

Solution steps

\frac{5}{x - 1} + \frac{30}{x + 1} = 5

Multiply by LCM

5 (x + 1) + 30 (x - 1) = 5 (x - 1) (x + 1)

Solve

5 (x + 1) + 30 (x - 1) = 5 (x - 1) (x + 1) : x = \frac{7 + 33}{2}, x = \frac{7 - 33}{2}

x = \frac{7 + 33}{2}, x = \frac{7 - 33}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = \frac{7 + 33}{2}, x = \frac{7 - 33}{2}

2 + \frac{8}{x - 3} = \frac{4}{x}

\frac{x ^{2} + x}{x} = 4

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

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

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

What is the answer to 5/(x-1)+(30)/(x+1)=5 ?
The answer to 5/(x-1)+(30)/(x+1)=5 is x=(7+sqrt(33))/2 ,x=(7-sqrt(33))/2
Solve for x: 5/(x-1)+(30)/(x+1)=5
The solution is x=(7+sqrt(33))/2 ,x=(7-sqrt(33))/2