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

The answer to 3/x-5/(x+2)=2 is x=(-3+sqrt(21))/2 ,x=-(3+sqrt(21))/2

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

The solution is x=(-3+sqrt(21))/2 ,x=-(3+sqrt(21))/2

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

x = \frac{- 3 + 21}{2}, x = - \frac{3 + 21}{2}

Solution steps

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

Multiply by LCM

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

Solve

3 (x + 2) - 5 x = 2 x (x + 2) : x = \frac{- 3 + 21}{2}, x = - \frac{3 + 21}{2}

x = \frac{- 3 + 21}{2}, x = - \frac{3 + 21}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = \frac{- 3 + 21}{2}, x = - \frac{3 + 21}{2}

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

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

\frac{4}{m} = \frac{2}{9}

y, v = y^{- 2}

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

What is the answer to 3/x-5/(x+2)=2 ?
The answer to 3/x-5/(x+2)=2 is x=(-3+sqrt(21))/2 ,x=-(3+sqrt(21))/2
Solve for x: 3/x-5/(x+2)=2
The solution is x=(-3+sqrt(21))/2 ,x=-(3+sqrt(21))/2