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sqrt(x+2)*(3x-2)=4 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
  _______              
\/ x + 2 *(3*x - 2) = 4
$$\sqrt{x + 2} \left(3 x - 2\right) = 4$$
Gráfica
Respuesta rápida [src]
                __________________                             
               /             ____                              
       2      /  136   8*I*\/ 47                 64            
x1 = - - + 3 /   --- + ----------  + --------------------------
       9   \/    729       81                __________________
                                            /             ____ 
                                           /  136   8*I*\/ 47  
                                     81*3 /   --- + ---------- 
                                        \/    729       81     
$$x_{1} = - \frac{2}{9} + \frac{64}{81 \sqrt[3]{\frac{136}{729} + \frac{8 \sqrt{47} i}{81}}} + \sqrt[3]{\frac{136}{729} + \frac{8 \sqrt{47} i}{81}}$$
x1 = -2/9 + 64/(81*(136/729 + 8*sqrt(47)*i/81)^(1/3)) + (136/729 + 8*sqrt(47)*i/81)^(1/3)
Suma y producto de raíces [src]
suma
           __________________                             
          /             ____                              
  2      /  136   8*I*\/ 47                 64            
- - + 3 /   --- + ----------  + --------------------------
  9   \/    729       81                __________________
                                       /             ____ 
                                      /  136   8*I*\/ 47  
                                81*3 /   --- + ---------- 
                                   \/    729       81     
$$- \frac{2}{9} + \frac{64}{81 \sqrt[3]{\frac{136}{729} + \frac{8 \sqrt{47} i}{81}}} + \sqrt[3]{\frac{136}{729} + \frac{8 \sqrt{47} i}{81}}$$
=
           __________________                             
          /             ____                              
  2      /  136   8*I*\/ 47                 64            
- - + 3 /   --- + ----------  + --------------------------
  9   \/    729       81                __________________
                                       /             ____ 
                                      /  136   8*I*\/ 47  
                                81*3 /   --- + ---------- 
                                   \/    729       81     
$$- \frac{2}{9} + \frac{64}{81 \sqrt[3]{\frac{136}{729} + \frac{8 \sqrt{47} i}{81}}} + \sqrt[3]{\frac{136}{729} + \frac{8 \sqrt{47} i}{81}}$$
producto
           __________________                             
          /             ____                              
  2      /  136   8*I*\/ 47                 64            
- - + 3 /   --- + ----------  + --------------------------
  9   \/    729       81                __________________
                                       /             ____ 
                                      /  136   8*I*\/ 47  
                                81*3 /   --- + ---------- 
                                   \/    729       81     
$$- \frac{2}{9} + \frac{64}{81 \sqrt[3]{\frac{136}{729} + \frac{8 \sqrt{47} i}{81}}} + \sqrt[3]{\frac{136}{729} + \frac{8 \sqrt{47} i}{81}}$$
=
           _________________                         
        3 /            ____                          
  2   2*\/  17 + 9*I*\/ 47               32          
- - + ---------------------- + ----------------------
  9             9                   _________________
                                 3 /            ____ 
                               9*\/  17 + 9*I*\/ 47  
$$- \frac{2}{9} + \frac{32}{9 \sqrt[3]{17 + 9 \sqrt{47} i}} + \frac{2 \sqrt[3]{17 + 9 \sqrt{47} i}}{9}$$
-2/9 + 2*(17 + 9*i*sqrt(47))^(1/3)/9 + 32/(9*(17 + 9*i*sqrt(47))^(1/3))
Respuesta numérica [src]
x1 = 1.390753465101
x1 = 1.390753465101