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(-x^3)/(144-x^2)^(1/2)+2x*(144-x^2)^(1/2)=0 equation

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Numerical solution:

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The solution

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       3               __________    
     -x               /        2     
------------- + 2*x*\/  144 - x   = 0
   __________                        
  /        2                         
\/  144 - x                          
$$2 x \sqrt{144 - x^{2}} + \frac{\left(-1\right) x^{3}}{\sqrt{144 - x^{2}}} = 0$$
The graph
Sum and product of roots [src]
sum
      ___       ___
- 4*\/ 6  + 4*\/ 6 
$$- 4 \sqrt{6} + 4 \sqrt{6}$$
=
0
$$0$$
product
       ___     ___
0*-4*\/ 6 *4*\/ 6 
$$4 \sqrt{6} \cdot 0 \left(- 4 \sqrt{6}\right)$$
=
0
$$0$$
0
Rapid solution [src]
x1 = 0
$$x_{1} = 0$$
          ___
x2 = -4*\/ 6 
$$x_{2} = - 4 \sqrt{6}$$
         ___
x3 = 4*\/ 6 
$$x_{3} = 4 \sqrt{6}$$
x3 = 4*sqrt(6)
Numerical answer [src]
x1 = -9.79795897113271
x2 = 0.0
x3 = 9.79795897113271
x3 = 9.79795897113271