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

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

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

The solution is x=1+sqrt(5),x=1-sqrt(5)

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

x = 1 + 5, x = 1 - 5

Decimal Notation

x = 3.23606 \dots, x = - 1.23606 \dots

Solution steps

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

Multiply by LCM

2 x = (x + 2) (x - 2)

Solve

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

x = 1 + 5, x = 1 - 5

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 2

Combine undefined points with solutions:

x = 1 + 5, x = 1 - 5

\frac{12.6}{x} = \frac{9.7}{6.3}

\frac{9}{x} = \frac{3}{8}

0 = \frac{x + 3}{x - 11}

5 - \frac{8}{b} = 9

\frac{15}{x} = - \frac{3}{4}

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