What is the answer to 1/x+1/(x-2)= 1/4 ?

The answer to 1/x+1/(x-2)= 1/4 is x=5+sqrt(17),x=5-sqrt(17)

Solve for x: 1/x+1/(x-2)= 1/4

The solution is x=5+sqrt(17),x=5-sqrt(17)

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\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}

x = 5 + 17, x = 5 - 17

Decimal Notation

x = 9.12310 \dots, x = 0.87689 \dots

Solution steps

\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}

Multiply by LCM

4 (x - 2) + 4 x = x (x - 2)

Solve

4 (x - 2) + 4 x = x (x - 2) : x = 5 + 17, x = 5 - 17

x = 5 + 17, x = 5 - 17

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

x = 5 + 17, x = 5 - 17

\frac{x - 1}{4} + \frac{5}{x + 3} = \frac{7}{2}

12 (2 - x) = \frac{8}{3 \times ( 1 - 2 x )}

c = \frac{5 d + 4 w}{2 w}

a, p = \frac{f}{a}

\frac{4}{5 x} - 3 = \frac{2}{x}

What is the answer to 1/x+1/(x-2)= 1/4 ?
The answer to 1/x+1/(x-2)= 1/4 is x=5+sqrt(17),x=5-sqrt(17)
Solve for x: 1/x+1/(x-2)= 1/4
The solution is x=5+sqrt(17),x=5-sqrt(17)