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

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

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

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

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

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

Solution steps

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

Multiply by LCM

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

Solve

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

Combine undefined points with solutions:

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

\frac{3}{b} = \frac{b}{12}

\frac{1}{21} = \frac{4}{h}

1.8 = \frac{( 4 x ^{2} )}{- 216 x}

\frac{1}{H} \cdot H = 1

h = \frac{2 + 3 b}{b}, b

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