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

The answer to 5/(x-3)+2/(x+1)=1 is x=(9+sqrt(89))/2 ,x=(9-sqrt(89))/2

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

The solution is x=(9+sqrt(89))/2 ,x=(9-sqrt(89))/2

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

x = \frac{9 + 89}{2}, x = \frac{9 - 89}{2}

Decimal Notation

x = 9.21699 \dots, x = - 0.21699 \dots

Solution steps

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

Multiply by LCM

5 (x + 1) + 2 (x - 3) = (x - 3) (x + 1)

Solve

5 (x + 1) + 2 (x - 3) = (x - 3) (x + 1) : x = \frac{9 + 89}{2}, x = \frac{9 - 89}{2}

x = \frac{9 + 89}{2}, x = \frac{9 - 89}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 1

Combine undefined points with solutions:

x = \frac{9 + 89}{2}, x = \frac{9 - 89}{2}

\frac{1}{3} = \frac{2}{t}

\frac{x ^{2} - 16}{x - 4} = - x + 7

\frac{5}{12} = \frac{45}{x}

x^{- 6} - 7 x^{- 3} - 8 = 0

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

What is the answer to 5/(x-3)+2/(x+1)=1 ?
The answer to 5/(x-3)+2/(x+1)=1 is x=(9+sqrt(89))/2 ,x=(9-sqrt(89))/2
Solve for x: 5/(x-3)+2/(x+1)=1
The solution is x=(9+sqrt(89))/2 ,x=(9-sqrt(89))/2