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La ecuación:
Ecuación x^4+2*x^2-8=0
Ecuación x*(x^2+8*x+16)=5*(x+4)
Ecuación -25-x=-17
Ecuación x^2+3x=4
Expresar {x} en función de y en la ecuación:
-18*x-2*y=9
-14*x+10*y=19
-9*x+1*y=3
-17*x+1*y=-11
Expresiones idénticas
x^ dos -sqrt(tres *x)- uno = cero
x al cuadrado menos raíz cuadrada de (3 multiplicar por x) menos 1 es igual a 0
x en el grado dos menos raíz cuadrada de (tres multiplicar por x) menos uno es igual a cero
x^2-√(3*x)-1=0
x2-sqrt(3*x)-1=0
x2-sqrt3*x-1=0
x²-sqrt(3*x)-1=0
x en el grado 2-sqrt(3*x)-1=0
x^2-sqrt(3x)-1=0
x2-sqrt(3x)-1=0
x2-sqrt3x-1=0
x^2-sqrt3x-1=0
x^2-sqrt(3*x)-1=O
Expresiones semejantes
x^2+sqrt(3*x)-1=0
x^2-sqrt(3*x)+1=0
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(2*x+3)=x
sqrt(-72+17*x)=x
sqrt(6+x-x^2)=1-x
sqrt(cos(x)-1)=0
sqrt(x+3)=x+3

x^2-sqrt(3*x)-1=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

 2     _____        
x  - \/ 3*x  - 1 = 0

$$\left(x^{2} - \sqrt{3 x}\right) - 1 = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                                                                                        ___________________________________________________________________________________________________________________________
                                                                                       /            ________________                                                                                               
                                                                                      /            /         ______                                                                                                
                                                                                     /   8        /  371   \/ 1497                                     6                                              8            
                                                                                    /    - - 2*3 /   --- + --------  + ----------------------------------------------------------------- - ----------------------- 
               _______________________________________________________             /     3     \/    432      48                 _______________________________________________________          ________________ 
              /            ________________                                       /                                             /            ________________                                    /         ______  
             /            /         ______                                       /                                             /            /         ______                                    /  371   \/ 1497   
            /   4        /  371   \/ 1497                8                      /                                             /   4        /  371   \/ 1497                8               9*3 /   --- + --------  
           /    - + 2*3 /   --- + --------  + -----------------------          /                                             /    - + 2*3 /   --- + --------  + -----------------------      \/    432      48     
          /     3     \/    432      48              ________________         /                                             /     3     \/    432      48              ________________                            
         /                                          /         ______         /                                             /                                          /         ______                             
        /                                          /  371   \/ 1497         /                                             /                                          /  371   \/ 1497                              
       /                                      9*3 /   --- + --------       /                                             /                                      9*3 /   --- + --------                             
     \/                                         \/    432      48        \/                                            \/                                         \/    432      48                                
x1 = ----------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------
                                     2                                                                                                       2

$$x_{1} = \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}} - \frac{8}{9 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}}} + \frac{8}{3} + \frac{6}{\sqrt{\frac{8}{9 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}}}}}}{2} + \frac{\sqrt{\frac{8}{9 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}}}}{2}$$

x1 = sqrt(-2*(sqrt(1497)/48 + 371/432)^(1/3) - 8/(9*(sqrt(1497)/48 + 371/432)^(1/3)) + 8/3 + 6/sqrt(8/(9*(sqrt(1497)/48 + 371/432)^(1/3)) + 4/3 + 2*(sqrt(1497)/48 + 371/432)^(1/3)))/2 + sqrt(8/(9*(sqrt(1497)/48 + 371/432)^(1/3)) + 4/3 + 2*(sqrt(1497)/48 + 371/432)^(1/3))/2

Suma y producto de raíces [src]

suma

                                                                                   ___________________________________________________________________________________________________________________________
                                                                                  /            ________________                                                                                               
                                                                                 /            /         ______                                                                                                
                                                                                /   8        /  371   \/ 1497                                     6                                              8            
                                                                               /    - - 2*3 /   --- + --------  + ----------------------------------------------------------------- - ----------------------- 
          _______________________________________________________             /     3     \/    432      48                 _______________________________________________________          ________________ 
         /            ________________                                       /                                             /            ________________                                    /         ______  
        /            /         ______                                       /                                             /            /         ______                                    /  371   \/ 1497   
       /   4        /  371   \/ 1497                8                      /                                             /   4        /  371   \/ 1497                8               9*3 /   --- + --------  
      /    - + 2*3 /   --- + --------  + -----------------------          /                                             /    - + 2*3 /   --- + --------  + -----------------------      \/    432      48     
     /     3     \/    432      48              ________________         /                                             /     3     \/    432      48              ________________                            
    /                                          /         ______         /                                             /                                          /         ______                             
   /                                          /  371   \/ 1497         /                                             /                                          /  371   \/ 1497                              
  /                                      9*3 /   --- + --------       /                                             /                                      9*3 /   --- + --------                             
\/                                         \/    432      48        \/                                            \/                                         \/    432      48                                
----------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------
                                2                                                                                                       2

$$\frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}} - \frac{8}{9 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}}} + \frac{8}{3} + \frac{6}{\sqrt{\frac{8}{9 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}}}}}}{2} + \frac{\sqrt{\frac{8}{9 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{\sqrt{1497}}{48} + \frac{371}{432}}}}{2}$$

                                                                                   ___________________________________________________________________________________________________________________________
                                                                                  /            ________________                                                                                               
                                                                                 /            /         ______                                                                                                
                                                                                /   8        /  371   \/ 1497                                     6                                              8            
                                                                               /    - - 2*3 /   --- + --------  + ----------------------------------------------------------------- - ----------------------- 
          _______________________________________________________             /     3     \/    432      48                 _______________________________________________________          ________________ 
         /            ________________                                       /                                             /            ________________                                    /         ______  
        /            /         ______                                       /                                             /            /         ______                                    /  371   \/ 1497   
       /   4        /  371   \/ 1497                8                      /                                             /   4        /  371   \/ 1497                8               9*3 /   --- + --------  
      /    - + 2*3 /   --- + --------  + -----------------------          /                                             /    - + 2*3 /   --- + --------  + -----------------------      \/    432      48     
     /     3     \/    432      48              ________________         /                                             /     3     \/    432      48              ________________                            
    /                                          /         ______         /                                             /                                          /         ______                             
   /                                          /  371   \/ 1497         /                                             /                                          /  371   \/ 1497                              
  /                                      9*3 /   --- + --------       /                                             /                                      9*3 /   --- + --------                             
\/                                         \/    432      48        \/                                            \/                                         \/    432      48                                
----------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------
                                2                                                                                                       2

producto

                                                                                   ___________________________________________________________________________________________________________________________
                                                                                  /            ________________                                                                                               
                                                                                 /            /         ______                                                                                                
                                                                                /   8        /  371   \/ 1497                                     6                                              8            
                                                                               /    - - 2*3 /   --- + --------  + ----------------------------------------------------------------- - ----------------------- 
          _______________________________________________________             /     3     \/    432      48                 _______________________________________________________          ________________ 
         /            ________________                                       /                                             /            ________________                                    /         ______  
        /            /         ______                                       /                                             /            /         ______                                    /  371   \/ 1497   
       /   4        /  371   \/ 1497                8                      /                                             /   4        /  371   \/ 1497                8               9*3 /   --- + --------  
      /    - + 2*3 /   --- + --------  + -----------------------          /                                             /    - + 2*3 /   --- + --------  + -----------------------      \/    432      48     
     /     3     \/    432      48              ________________         /                                             /     3     \/    432      48              ________________                            
    /                                          /         ______         /                                             /                                          /         ______                             
   /                                          /  371   \/ 1497         /                                             /                                          /  371   \/ 1497                              
  /                                      9*3 /   --- + --------       /                                             /                                      9*3 /   --- + --------                             
\/                                         \/    432      48        \/                                            \/                                         \/    432      48                                
----------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------
                                2                                                                                                       2

                                                                                   ___________________________________________________________________________________________________________________________
                                                                                  /            ________________                                                                                               
                                                                                 /            /         ______                                                                                                
                                                                                /   8        /  371   \/ 1497                                     6                                              8            
                                                                               /    - - 2*3 /   --- + --------  + ----------------------------------------------------------------- - ----------------------- 
          _______________________________________________________             /     3     \/    432      48                 _______________________________________________________          ________________ 
         /            ________________                                       /                                             /            ________________                                    /         ______  
        /            /         ______                                       /                                             /            /         ______                                    /  371   \/ 1497   
       /   4        /  371   \/ 1497                8                      /                                             /   4        /  371   \/ 1497                8               9*3 /   --- + --------  
      /    - + 2*3 /   --- + --------  + -----------------------          /                                             /    - + 2*3 /   --- + --------  + -----------------------      \/    432      48     
     /     3     \/    432      48              ________________         /                                             /     3     \/    432      48              ________________                            
    /                                          /         ______         /                                             /                                          /         ______                             
   /                                          /  371   \/ 1497         /                                             /                                          /  371   \/ 1497                              
  /                                      9*3 /   --- + --------       /                                             /                                      9*3 /   --- + --------                             
\/                                         \/    432      48        \/                                            \/                                         \/    432      48                                
----------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------
                                2                                                                                                       2

sqrt(4/3 + 2*(371/432 + sqrt(1497)/48)^(1/3) + 8/(9*(371/432 + sqrt(1497)/48)^(1/3)))/2 + sqrt(8/3 - 2*(371/432 + sqrt(1497)/48)^(1/3) + 6/sqrt(4/3 + 2*(371/432 + sqrt(1497)/48)^(1/3) + 8/(9*(371/432 + sqrt(1497)/48)^(1/3))) - 8/(9*(371/432 + sqrt(1497)/48)^(1/3)))/2

Respuesta numérica [src]

x1 = 1.82806970024069

x1 = 1.82806970024069

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¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

x^2-sqrt(3*x)-1=0 la ecuación

Solución numérica:

Solución