What is the answer to 5/(x+2)+9/(x-2)=2 ?

The answer to 5/(x+2)+9/(x-2)=2 is x=8,x=-1

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5/(x+2)+9/(x-2)=2

\frac{5}{x + 2} + \frac{9}{x - 2} = 2

x = 8, x = - 1

Solution steps

\frac{5}{x + 2} + \frac{9}{x - 2} = 2

Multiply by LCM

5 (x - 2) + 9 (x + 2) = 2 (x + 2) (x - 2)

Solve

5 (x - 2) + 9 (x + 2) = 2 (x + 2) (x - 2) : x = 8, x = - 1

x = 8, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 2

Combine undefined points with solutions:

x = 8, x = - 1

\frac{4}{x} = \frac{4}{x ^{2}}

\frac{1}{2} = \frac{4}{h}

5 - \frac{7}{y} = - \frac{2}{y ^{2}}

\frac{3}{2} = \frac{7}{x}

3 x + \frac{75}{x} = - 5

What is the answer to 5/(x+2)+9/(x-2)=2 ?
The answer to 5/(x+2)+9/(x-2)=2 is x=8,x=-1
Solve for x: 5/(x+2)+9/(x-2)=2
The solution is x=8,x=-1