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(3-x)^6+(x+1)^6=730

(3-x)^6+(x+1)^6=730 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
       6          6      
(3 - x)  + (x + 1)  = 730
(3−x)6+(x+1)6=730\left(3 - x\right)^{6} + \left(x + 1\right)^{6} = 730
Simplificar
Gráfica
05-15-10-51015010000000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
               _______________              _______________              _______________              _______________
              /        ______              /        ______              /        ______              /        ______ 
             /  61   \/ 2517              /  61   \/ 2517              /  61   \/ 2517              /  61   \/ 2517  
2 + 1 - I*  /   -- + --------  + 1 + I*  /   -- + --------  + 1 - I*  /   -- - --------  + 1 + I*  /   -- - -------- 
          \/    2       2              \/    2       2              \/    2       2              \/    2       2
((1−i612−25172)+((2+(1−i25172+612))+(1+i25172+612)))+(1+i612−25172)\left(\left(1 - i \sqrt{\frac{61}{2} - \frac{\sqrt{2517}}{2}}\right) + \left(\left(2 + \left(1 - i \sqrt{\frac{\sqrt{2517}}{2} + \frac{61}{2}}\right)\right) + \left(1 + i \sqrt{\frac{\sqrt{2517}}{2} + \frac{61}{2}}\right)\right)\right) + \left(1 + i \sqrt{\frac{61}{2} - \frac{\sqrt{2517}}{2}}\right) 
=
6
66 
producto
    /           _______________\ /           _______________\ /           _______________\ /           _______________\
    |          /        ______ | |          /        ______ | |          /        ______ | |          /        ______ |
    |         /  61   \/ 2517  | |         /  61   \/ 2517  | |         /  61   \/ 2517  | |         /  61   \/ 2517  |
0*2*|1 - I*  /   -- + -------- |*|1 + I*  /   -- + -------- |*|1 - I*  /   -- - -------- |*|1 + I*  /   -- - -------- |
    \      \/    2       2     / \      \/    2       2     / \      \/    2       2     / \      \/    2       2     /
0⋅2(1−i25172+612)(1+i25172+612)(1−i612−25172)(1+i612−25172)0 \cdot 2 \left(1 - i \sqrt{\frac{\sqrt{2517}}{2} + \frac{61}{2}}\right) \left(1 + i \sqrt{\frac{\sqrt{2517}}{2} + \frac{61}{2}}\right) \left(1 - i \sqrt{\frac{61}{2} - \frac{\sqrt{2517}}{2}}\right) \left(1 + i \sqrt{\frac{61}{2} - \frac{\sqrt{2517}}{2}}\right) 
=
0
00 
0
Respuesta rápida [src] 
x1 = 0
x1=0x_{1} = 0 
x2 = 2
x2=2x_{2} = 2 
                _______________
               /        ______ 
              /  61   \/ 2517  
x3 = 1 - I*  /   -- + -------- 
           \/    2       2
x3=1−i25172+612x_{3} = 1 - i \sqrt{\frac{\sqrt{2517}}{2} + \frac{61}{2}} 
                _______________
               /        ______ 
              /  61   \/ 2517  
x4 = 1 + I*  /   -- + -------- 
           \/    2       2
x4=1+i25172+612x_{4} = 1 + i \sqrt{\frac{\sqrt{2517}}{2} + \frac{61}{2}} 
                _______________
               /        ______ 
              /  61   \/ 2517  
x5 = 1 - I*  /   -- - -------- 
           \/    2       2
x5=1−i612−25172x_{5} = 1 - i \sqrt{\frac{61}{2} - \frac{\sqrt{2517}}{2}} 
                _______________
               /        ______ 
              /  61   \/ 2517  
x6 = 1 + I*  /   -- - -------- 
           \/    2       2
x6=1+i612−25172x_{6} = 1 + i \sqrt{\frac{61}{2} - \frac{\sqrt{2517}}{2}} 
x6 = 1 + i*sqrt(61/2 - sqrt(2517)/2)
Respuesta numérica [src] 
x1 = 2.0
x2 = 1.0 - 7.45552519875172*i
x3 = 1.0 + 2.32704619867723*i
x4 = 1.0 - 2.32704619867723*i
x5 = 1.0 + 7.45552519875172*i
x6 = 0.0
x6 = 0.0
Gráfico
(3-x)^6+(x+1)^6=730 la ecuación
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