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1/(2*sqrt(x))=42 equation

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Numerical solution:

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The solution

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   1        
------- = 42
    ___     
2*\/ x      
$$\frac{1}{2 \sqrt{x}} = 42$$
Detail solution
Given the equation
$$\frac{1}{2 \sqrt{x}} = 42$$
Because equation degree is equal to = -1/2 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to -2-th degree:
We get:
     1         1 
----------- = ---
          2     2
1  /  1  \    42 
--*|-----|       
 2 |  ___|       
2  \\/ x /       

or
$$4 x = \frac{1}{1764}$$
Divide both parts of the equation by 4
x = 1/1764 / (4)

We get the answer: x = 1/7056

The final answer:
$$x_{1} = \frac{1}{7056}$$
The graph
Sum and product of roots [src]
sum
1/7056
$$\frac{1}{7056}$$
=
1/7056
$$\frac{1}{7056}$$
product
1/7056
$$\frac{1}{7056}$$
=
1/7056
$$\frac{1}{7056}$$
1/7056
Rapid solution [src]
x1 = 1/7056
$$x_{1} = \frac{1}{7056}$$
x1 = 1/7056
Numerical answer [src]
x1 = 0.00014172335600907
x1 = 0.00014172335600907