What is the answer to 2/(x-1)+4/(x+5)=7 ?

The answer to 2/(x-1)+4/(x+5)=7 is x=(-11+2sqrt(102))/7 ,x=-(11+2sqrt(102))/7

Solve for x: 2/(x-1)+4/(x+5)=7

The solution is x=(-11+2sqrt(102))/7 ,x=-(11+2sqrt(102))/7

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\frac{2}{x - 1} + \frac{4}{x + 5} = 7

x = \frac{- 11 + 2 102}{7}, x = - \frac{11 + 2 102}{7}

Decimal Notation

x = 1.31414 \dots, x = - 4.45700 \dots

Solution steps

\frac{2}{x - 1} + \frac{4}{x + 5} = 7

Multiply by LCM

2 (x + 5) + 4 (x - 1) = 7 (x - 1) (x + 5)

Solve

2 (x + 5) + 4 (x - 1) = 7 (x - 1) (x + 5) : x = \frac{- 11 + 2 102}{7}, x = - \frac{11 + 2 102}{7}

x = \frac{- 11 + 2 102}{7}, x = - \frac{11 + 2 102}{7}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 5

Combine undefined points with solutions:

x = \frac{- 11 + 2 102}{7}, x = - \frac{11 + 2 102}{7}

\frac{1}{33} + \frac{1.5}{x} = \frac{0.5}{12}

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

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

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

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

What is the answer to 2/(x-1)+4/(x+5)=7 ?
The answer to 2/(x-1)+4/(x+5)=7 is x=(-11+2sqrt(102))/7 ,x=-(11+2sqrt(102))/7
Solve for x: 2/(x-1)+4/(x+5)=7
The solution is x=(-11+2sqrt(102))/7 ,x=-(11+2sqrt(102))/7