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sqrt(18-sqrt^3(x)+10)=4 equation

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Numerical solution:

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The solution

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    __________________    
   /           3          
  /         ___           
\/   18 - \/ x   + 10  = 4
$$\sqrt{\left(18 - \left(\sqrt{x}\right)^{3}\right) + 10} = 4$$
The graph
Rapid solution [src]
       3 ____
x1 = 2*\/ 18 
$$x_{1} = 2 \sqrt[3]{18}$$
x1 = 2*18^(1/3)
Sum and product of roots [src]
sum
  3 ____
2*\/ 18 
$$2 \sqrt[3]{18}$$
=
  3 ____
2*\/ 18 
$$2 \sqrt[3]{18}$$
product
  3 ____
2*\/ 18 
$$2 \sqrt[3]{18}$$
=
  3 ____
2*\/ 18 
$$2 \sqrt[3]{18}$$
2*18^(1/3)
Numerical answer [src]
x1 = 5.24148278841779
x1 = 5.24148278841779