What is the answer to (x+2)/(x^2-4)=5 ?

The answer to (x+2)/(x^2-4)=5 is x= 11/5

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(x+2)/(x^2-4)=5

\frac{x + 2}{x ^{2} - 4} = 5

x = \frac{11}{5}

Decimal Notation

x = 2.2

Solution steps

\frac{x + 2}{x ^{2} - 4} = 5

Simplify

\frac{x + 2}{x ^{2} - 4} : \frac{1}{x - 2}

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

Multiply both sides by

x - 2

1 = 5 (x - 2)

Switch sides

5 (x - 2) = 1

Divide both sides by

5

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

Move

2

to the right side

x = \frac{11}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = \frac{11}{5}

\frac{4}{x} = \frac{6}{7}

\frac{3}{x - 2} = - 11

\frac{12}{7 - y} + \frac{1}{y} = 3

\frac{3}{2} + \frac{13}{x} = 4 x

\frac{- 4 a + 8}{a + 3} = 0

What is the answer to (x+2)/(x^2-4)=5 ?
The answer to (x+2)/(x^2-4)=5 is x= 11/5
Solve for x: (x+2)/(x^2-4)=5
The solution is x= 11/5