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sqrtx^3-4x^2+4x=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
     3                 
  ___       2          
\/ x   - 4*x  + 4*x = 1
4x+((x)3−4x2)=14 x + \left(\left(\sqrt{x}\right)^{3} - 4 x^{2}\right) = 1
Simplificar
Gráfica
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.0-500500
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
              __________________                              
             /            _____                               
            /  199    3*\/ 249                                
         3 /   ---- + ---------                               
    17   \/    4096      512                    47            
1 + -- - ----------------------- + ---------------------------
    48              3                       __________________
                                           /            _____ 
                                          /  199    3*\/ 249  
                                   768*3 /   ---- + --------- 
                                       \/    4096      512
(−1994096+324951233+477681994096+32495123+1748)+1\left(- \frac{\sqrt[3]{\frac{199}{4096} + \frac{3 \sqrt{249}}{512}}}{3} + \frac{47}{768 \sqrt[3]{\frac{199}{4096} + \frac{3 \sqrt{249}}{512}}} + \frac{17}{48}\right) + 1 
=
          __________________                              
         /            _____                               
        /  199    3*\/ 249                                
     3 /   ---- + ---------                               
65   \/    4096      512                    47            
-- - ----------------------- + ---------------------------
48              3                       __________________
                                       /            _____ 
                                      /  199    3*\/ 249  
                               768*3 /   ---- + --------- 
                                   \/    4096      512
−1994096+324951233+477681994096+32495123+6548- \frac{\sqrt[3]{\frac{199}{4096} + \frac{3 \sqrt{249}}{512}}}{3} + \frac{47}{768 \sqrt[3]{\frac{199}{4096} + \frac{3 \sqrt{249}}{512}}} + \frac{65}{48} 
producto
          __________________                              
         /            _____                               
        /  199    3*\/ 249                                
     3 /   ---- + ---------                               
17   \/    4096      512                    47            
-- - ----------------------- + ---------------------------
48              3                       __________________
                                       /            _____ 
                                      /  199    3*\/ 249  
                               768*3 /   ---- + --------- 
                                   \/    4096      512
−1994096+324951233+477681994096+32495123+1748- \frac{\sqrt[3]{\frac{199}{4096} + \frac{3 \sqrt{249}}{512}}}{3} + \frac{47}{768 \sqrt[3]{\frac{199}{4096} + \frac{3 \sqrt{249}}{512}}} + \frac{17}{48} 
=
        __________________                           
     3 /            _____                            
17   \/  199 + 24*\/ 249                47           
-- - --------------------- + ------------------------
48             48                  __________________
                                3 /            _____ 
                             48*\/  199 + 24*\/ 249
−199+24249348+4748199+242493+1748- \frac{\sqrt[3]{199 + 24 \sqrt{249}}}{48} + \frac{47}{48 \sqrt[3]{199 + 24 \sqrt{249}}} + \frac{17}{48} 
17/48 - (199 + 24*sqrt(249))^(1/3)/48 + 47/(48*(199 + 24*sqrt(249))^(1/3))
Respuesta rápida [src] 
x1 = 1
x1=1x_{1} = 1 
               __________________                              
              /            _____                               
             /  199    3*\/ 249                                
          3 /   ---- + ---------                               
     17   \/    4096      512                    47            
x2 = -- - ----------------------- + ---------------------------
     48              3                       __________________
                                            /            _____ 
                                           /  199    3*\/ 249  
                                    768*3 /   ---- + --------- 
                                        \/    4096      512
x2=−1994096+324951233+477681994096+32495123+1748x_{2} = - \frac{\sqrt[3]{\frac{199}{4096} + \frac{3 \sqrt{249}}{512}}}{3} + \frac{47}{768 \sqrt[3]{\frac{199}{4096} + \frac{3 \sqrt{249}}{512}}} + \frac{17}{48} 
x2 = -(199/4096 + 3*sqrt(249)/512)^(1/3)/3 + 47/(768*(199/4096 + 3*sqrt(249)/512)^(1/3)) + 17/48
Respuesta numérica [src] 
x1 = 0.298221707163148
x2 = 1.0
x2 = 1.0
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