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sqrt(24-x*x)=x*x/(2sqrt(3)) equation

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Numerical solution:

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The solution

You have entered [src]
  __________     x*x  
\/ 24 - x*x  = -------
                   ___
               2*\/ 3 
$$\sqrt{- x x + 24} = \frac{x x}{2 \sqrt{3}}$$
The graph
Rapid solution [src]
          ___
x1 = -2*\/ 3 
$$x_{1} = - 2 \sqrt{3}$$
         ___
x2 = 2*\/ 3 
$$x_{2} = 2 \sqrt{3}$$
x2 = 2*sqrt(3)
Sum and product of roots [src]
sum
      ___       ___
- 2*\/ 3  + 2*\/ 3 
$$- 2 \sqrt{3} + 2 \sqrt{3}$$
=
0
$$0$$
product
     ___     ___
-2*\/ 3 *2*\/ 3 
$$- 2 \sqrt{3} \cdot 2 \sqrt{3}$$
=
-12
$$-12$$
-12
Numerical answer [src]
x1 = 3.46410161513775
x2 = -3.46410161513775
x2 = -3.46410161513775