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sqrt^32-x=-5 equation

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Numerical solution:

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The solution

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     3         
  ___          
\/ 2   - x = -5
$$- x + \left(\sqrt{2}\right)^{3} = -5$$
Detail solution
Given the linear equation:
sqrt(2)^(3)-x = -5

Expand brackets in the left part
sqrt2^3-x = -5

Divide both parts of the equation by (-x + 2*sqrt(2))/x
x = -5 / ((-x + 2*sqrt(2))/x)

We get the answer: x = 5 + 2*sqrt(2)
The graph
Sum and product of roots [src]
sum
        ___
5 + 2*\/ 2 
$$2 \sqrt{2} + 5$$
=
        ___
5 + 2*\/ 2 
$$2 \sqrt{2} + 5$$
product
        ___
5 + 2*\/ 2 
$$2 \sqrt{2} + 5$$
=
        ___
5 + 2*\/ 2 
$$2 \sqrt{2} + 5$$
5 + 2*sqrt(2)
Rapid solution [src]
             ___
x1 = 5 + 2*\/ 2 
$$x_{1} = 2 \sqrt{2} + 5$$
x1 = 2*sqrt(2) + 5
Numerical answer [src]
x1 = 7.82842712474619
x1 = 7.82842712474619