What is the answer to 2(8/1+1/x)=1+x ?

The answer to 2(8/1+1/x)=1+x is x=(15+sqrt(233))/2 ,x=(15-sqrt(233))/2

Solve for x: 2(8/1+1/x)=1+x

The solution is x=(15+sqrt(233))/2 ,x=(15-sqrt(233))/2

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2 (\frac{8}{1} + \frac{1}{x}) = 1 + x

x = \frac{15 + 233}{2}, x = \frac{15 - 233}{2}

Decimal Notation

x = 15.13216 \dots, x = - 0.13216 \dots

Solution steps

2 (\frac{8}{1} + \frac{1}{x}) = 1 + x

Simplify

2 (\frac{8}{1} + \frac{1}{x}) : 2 (8 + \frac{1}{x})

2 (8 + \frac{1}{x}) = 1 + x

Expand

2 (8 + \frac{1}{x}) : 16 + \frac{2}{x}

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

Move

16

to the right side

\frac{2}{x} = x - 15

Multiply both sides by

x

2 = x^{2} - 15 x

Solve

2 = x^{2} - 15 x : x = \frac{15 + 233}{2}, x = \frac{15 - 233}{2}

x = \frac{15 + 233}{2}, x = \frac{15 - 233}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{15 + 233}{2}, x = \frac{15 - 233}{2}

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\frac{4}{0.7071 x} = 3

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What is the answer to 2(8/1+1/x)=1+x ?
The answer to 2(8/1+1/x)=1+x is x=(15+sqrt(233))/2 ,x=(15-sqrt(233))/2
Solve for x: 2(8/1+1/x)=1+x
The solution is x=(15+sqrt(233))/2 ,x=(15-sqrt(233))/2