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

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

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

The solution is x=2(sqrt(2)-1),x=-2(1+sqrt(2))

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

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

Decimal Notation

x = 0.82842 \dots, x = - 4.82842 \dots

Solution steps

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

Multiply by LCM

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

Solve

2 (x + 2) - 4 x = x (x + 2) : x = 2 (2 - 1), x = - 2 (1 + 2)

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

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

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

x + \frac{5}{x - 1} = 7

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

\frac{( + 6 )}{x} = (- 3)

x^{2} + (- \frac{x}{x + 2})^{2} = 20

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