What is the answer to 1/(x-3)-5/(x+4)=2 ?

The answer to 1/(x-3)-5/(x+4)=2 is x=(-3+sqrt(95))/2 ,x=-(3+sqrt(95))/2

Solve for x: 1/(x-3)-5/(x+4)=2

The solution is x=(-3+sqrt(95))/2 ,x=-(3+sqrt(95))/2

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\frac{1}{x - 3} - \frac{5}{x + 4} = 2

x = \frac{- 3 + 95}{2}, x = - \frac{3 + 95}{2}

Decimal Notation

x = 3.37339 \dots, x = - 6.37339 \dots

Solution steps

\frac{1}{x - 3} - \frac{5}{x + 4} = 2

Multiply by LCM

x + 4 - 5 (x - 3) = 2 (x - 3) (x + 4)

Solve

x + 4 - 5 (x - 3) = 2 (x - 3) (x + 4) : x = \frac{- 3 + 95}{2}, x = - \frac{3 + 95}{2}

x = \frac{- 3 + 95}{2}, x = - \frac{3 + 95}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 4

Combine undefined points with solutions:

x = \frac{- 3 + 95}{2}, x = - \frac{3 + 95}{2}

\frac{6}{14} = \frac{7}{x - 3}

\frac{3}{x} = \frac{15}{8 x} + 3

\frac{w + 14}{4 w + 6} = \frac{3}{4}

\frac{x ^{2} - 4}{x + 3} = 0

\frac{1}{x + 1} = 0

What is the answer to 1/(x-3)-5/(x+4)=2 ?
The answer to 1/(x-3)-5/(x+4)=2 is x=(-3+sqrt(95))/2 ,x=-(3+sqrt(95))/2
Solve for x: 1/(x-3)-5/(x+4)=2
The solution is x=(-3+sqrt(95))/2 ,x=-(3+sqrt(95))/2