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sqrt(x+2)sqrt(x+1)+sqrt(x-2)sqrt(x-1)=2 equation

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Numerical solution:

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The solution

You have entered [src]
  _______   _______     _______   _______    
\/ x + 2 *\/ x + 1  + \/ x - 2 *\/ x - 1  = 2
$$\sqrt{x - 2} \sqrt{x - 1} + \sqrt{x + 1} \sqrt{x + 2} = 2$$
The graph
Sum and product of roots [src]
sum
    ___
2*\/ 5 
-------
   5   
$$\frac{2 \sqrt{5}}{5}$$
=
    ___
2*\/ 5 
-------
   5   
$$\frac{2 \sqrt{5}}{5}$$
product
    ___
2*\/ 5 
-------
   5   
$$\frac{2 \sqrt{5}}{5}$$
=
    ___
2*\/ 5 
-------
   5   
$$\frac{2 \sqrt{5}}{5}$$
2*sqrt(5)/5
Rapid solution [src]
         ___
     2*\/ 5 
x1 = -------
        5   
$$x_{1} = \frac{2 \sqrt{5}}{5}$$
x1 = 2*sqrt(5)/5
Numerical answer [src]
x1 = 0.894427190999916
x1 = 0.894427190999916