What is the answer to 1/2 x-8= 1/(4x)-6 ?

The answer to 1/2 x-8= 1/(4x)-6 is x=(4+3sqrt(2))/2 ,x=(4-3sqrt(2))/2

Solve for x: 1/2 x-8= 1/(4x)-6

The solution is x=(4+3sqrt(2))/2 ,x=(4-3sqrt(2))/2

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\frac{1}{2} x - 8 = \frac{1}{4 x} - 6

x = \frac{4 + 3 2}{2}, x = \frac{4 - 3 2}{2}

Decimal Notation

x = 4.12132 \dots, x = - 0.12132 \dots

Solution steps

\frac{1}{2} x - 8 = \frac{1}{4 x} - 6

Multiply by LCM

2 x^{2} = 1 + 8 x

Solve

2 x^{2} = 1 + 8 x : x = \frac{4 + 3 2}{2}, x = \frac{4 - 3 2}{2}

x = \frac{4 + 3 2}{2}, x = \frac{4 - 3 2}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4 + 3 2}{2}, x = \frac{4 - 3 2}{2}

\frac{1.5}{48} = \frac{12}{x}

9 + \frac{2}{w - 1} = - \frac{4}{w - 2}

t, h = \frac{2}{t ^{3}} f

3.3 = 5 \cdot \frac{x}{1000 + x}

\frac{4}{x - 5} = \frac{2}{x + 6}

What is the answer to 1/2 x-8= 1/(4x)-6 ?
The answer to 1/2 x-8= 1/(4x)-6 is x=(4+3sqrt(2))/2 ,x=(4-3sqrt(2))/2
Solve for x: 1/2 x-8= 1/(4x)-6
The solution is x=(4+3sqrt(2))/2 ,x=(4-3sqrt(2))/2