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

The answer to 2/(u+1)-u/(u-1)=3 is u=-(-1+sqrt(17))/8 ,u=(1+sqrt(17))/8

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

The solution is u=-(-1+sqrt(17))/8 ,u=(1+sqrt(17))/8

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

u = - \frac{- 1 + 17}{8}, u = \frac{1 + 17}{8}

Decimal Notation

u = - 0.39038 \dots, u = 0.64038 \dots

Solution steps

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

Multiply by LCM

2 (u - 1) - u (u + 1) = 3 (u + 1) (u - 1)

Solve

2 (u - 1) - u (u + 1) = 3 (u + 1) (u - 1) : u = - \frac{- 1 + 17}{8}, u = \frac{1 + 17}{8}

u = - \frac{- 1 + 17}{8}, u = \frac{1 + 17}{8}

Verify Solutions

Find undefined (singularity) points:

u = - 1, u = 1

Combine undefined points with solutions:

u = - \frac{- 1 + 17}{8}, u = \frac{1 + 17}{8}

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

\frac{x}{3} + \frac{12}{x} = x - 2

\frac{6}{2 x + 11} + 5 = 5

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

x, 4 y = \frac{3 x}{x + 1}

What is the answer to 2/(u+1)-u/(u-1)=3 ?
The answer to 2/(u+1)-u/(u-1)=3 is u=-(-1+sqrt(17))/8 ,u=(1+sqrt(17))/8
Solve for u: 2/(u+1)-u/(u-1)=3
The solution is u=-(-1+sqrt(17))/8 ,u=(1+sqrt(17))/8