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sqrtx+5-sqrt5-x=sqrtx-1 equation

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Numerical solution:

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The solution

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\/ x  + 5 - \/ 5  - x = \/ x  - 1
$$- x + \left(\left(\sqrt{x} + 5\right) - \sqrt{5}\right) = \sqrt{x} - 1$$
The graph
Sum and product of roots [src]
sum
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6 - \/ 5 
$$6 - \sqrt{5}$$
=
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6 - \/ 5 
$$6 - \sqrt{5}$$
product
      ___
6 - \/ 5 
$$6 - \sqrt{5}$$
=
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6 - \/ 5 
$$6 - \sqrt{5}$$
6 - sqrt(5)
Rapid solution [src]
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x1 = 6 - \/ 5 
$$x_{1} = 6 - \sqrt{5}$$
x1 = 6 - sqrt(5)
Numerical answer [src]
x1 = 3.76393202250021
x1 = 3.76393202250021