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sqrt(((3)/20-5x))=0,2

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sqrt(((3)/20-5x))=0,2

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sqrt(((3)/20-5x))=0,2 equation

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Numerical solution:

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The solution

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    __________      
   / 3              
  /  -- - 5*x  = 1/5
\/   20             
5x+320=15\sqrt{- 5 x + \frac{3}{20}} = \frac{1}{5}
Detail solution
Given the equation
5x+320=15\sqrt{- 5 x + \frac{3}{20}} = \frac{1}{5}
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:
(5x+320)2=(15)2\left(\sqrt{- 5 x + \frac{3}{20}}\right)^{2} = \left(\frac{1}{5}\right)^{2}
or
5x+320=125- 5 x + \frac{3}{20} = \frac{1}{25}
Move free summands (without x)
from left part to right part, we given:
5x=11100- 5 x = - \frac{11}{100}
Divide both parts of the equation by -5
x = -11/100 / (-5)

We get the answer: x = 11/500

The final answer:
x1=11500x_{1} = \frac{11}{500}
The graph
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.0010
Rapid solution [src]
       11
x_1 = ---
      500
x1=11500x_{1} = \frac{11}{500}
Sum and product of roots [src]
sum
 11
---
500
(11500)\left(\frac{11}{500}\right)
=
 11
---
500
11500\frac{11}{500}
product
 11
---
500
(11500)\left(\frac{11}{500}\right)
=
 11
---
500
11500\frac{11}{500}
Numerical answer [src]
x1 = 0.022
x1 = 0.022
The graph
sqrt(((3)/20-5x))=0,2 equation