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sqrt(x)-5*sqrt^4(x)+6=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
               4        
  ___       ___         
\/ x  - 5*\/ x   + 6 = 0
$$\left(- 5 \left(\sqrt{x}\right)^{4} + \sqrt{x}\right) + 6 = 0$$
Gráfica
Suma y producto de raíces [src]
suma
           ________________                           
          /          _____                            
  1      /  607    \/ 209                26           
- - + 3 /   ---- + -------  + ------------------------
  3   \/    1350     150              ________________
                                     /          _____ 
                                    /  607    \/ 209  
                              45*3 /   ---- + ------- 
                                 \/    1350     150   
$$- \frac{1}{3} + \frac{26}{45 \sqrt[3]{\frac{\sqrt{209}}{150} + \frac{607}{1350}}} + \sqrt[3]{\frac{\sqrt{209}}{150} + \frac{607}{1350}}$$
=
           ________________                           
          /          _____                            
  1      /  607    \/ 209                26           
- - + 3 /   ---- + -------  + ------------------------
  3   \/    1350     150              ________________
                                     /          _____ 
                                    /  607    \/ 209  
                              45*3 /   ---- + ------- 
                                 \/    1350     150   
$$- \frac{1}{3} + \frac{26}{45 \sqrt[3]{\frac{\sqrt{209}}{150} + \frac{607}{1350}}} + \sqrt[3]{\frac{\sqrt{209}}{150} + \frac{607}{1350}}$$
producto
           ________________                           
          /          _____                            
  1      /  607    \/ 209                26           
- - + 3 /   ---- + -------  + ------------------------
  3   \/    1350     150              ________________
                                     /          _____ 
                                    /  607    \/ 209  
                              45*3 /   ---- + ------- 
                                 \/    1350     150   
$$- \frac{1}{3} + \frac{26}{45 \sqrt[3]{\frac{\sqrt{209}}{150} + \frac{607}{1350}}} + \sqrt[3]{\frac{\sqrt{209}}{150} + \frac{607}{1350}}$$
=
         _____________________                          
      3 /               _____              3 ____       
  1   \/  12140 + 180*\/ 209            26*\/ 50        
- - + ------------------------ + -----------------------
  3              30                    _________________
                                    3 /           _____ 
                                 15*\/  607 + 9*\/ 209  
$$- \frac{1}{3} + \frac{26 \sqrt[3]{50}}{15 \sqrt[3]{9 \sqrt{209} + 607}} + \frac{\sqrt[3]{180 \sqrt{209} + 12140}}{30}$$
-1/3 + (12140 + 180*sqrt(209))^(1/3)/30 + 26*50^(1/3)/(15*(607 + 9*sqrt(209))^(1/3))
Respuesta rápida [src]
                ________________                           
               /          _____                            
       1      /  607    \/ 209                26           
x1 = - - + 3 /   ---- + -------  + ------------------------
       3   \/    1350     150              ________________
                                          /          _____ 
                                         /  607    \/ 209  
                                   45*3 /   ---- + ------- 
                                      \/    1350     150   
$$x_{1} = - \frac{1}{3} + \frac{26}{45 \sqrt[3]{\frac{\sqrt{209}}{150} + \frac{607}{1350}}} + \sqrt[3]{\frac{\sqrt{209}}{150} + \frac{607}{1350}}$$
x1 = -1/3 + 26/(45*(sqrt(209)/150 + 607/1350)^(1/3)) + (sqrt(209)/150 + 607/1350)^(1/3)
Respuesta numérica [src]
x1 = 1.19090607795842
x1 = 1.19090607795842