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-1+(a-0.5)/a+(((-1/(12*a^2))-2/(288*a^3)+3*139/(51840*a^4)+571*4/(2488320*a^5)))/(1+1/(12*a)+1/(288*a^2)-139/(51840*a^3)-571/(2488320*a^4))=-0.0977 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                    1       2        417         2284             
                - ----- - ------ + -------- + ----------          
                      2        3          4            5          
     a - 1/2      12*a    288*a    51840*a    2488320*a           
-1 + ------- + ----------------------------------------- = -0.0977
        a           1       1        139         571              
               1 + ---- + ------ - -------- - ----------          
                   12*a        2          3            4          
                          288*a    51840*a    2488320*a           
(1+a12a)+((2288a3112a2)+41751840a4)+22842488320a5(((1+112a)+1288a2)13951840a3)5712488320a4=0.0977\left(-1 + \frac{a - \frac{1}{2}}{a}\right) + \frac{\left(\left(- \frac{2}{288 a^{3}} - \frac{1}{12 a^{2}}\right) + \frac{417}{51840 a^{4}}\right) + \frac{2284}{2488320 a^{5}}}{\left(\left(\left(1 + \frac{1}{12 a}\right) + \frac{1}{288 a^{2}}\right) - \frac{139}{51840 a^{3}}\right) - \frac{571}{2488320 a^{4}}} = -0.0977
Gráfica
05-15-10-5101520200-100
Suma y producto de raíces [src]
suma
-0.108620604648879 + 0.226769016229517 + 5.27871073659258 + -0.181242607181117 - 0.220087861825905*I + -0.181242607181117 + 0.220087861825905*I
(((0.108620604648879+0.226769016229517)+5.27871073659258)+(0.1812426071811170.220087861825905i))+(0.181242607181117+0.220087861825905i)\left(\left(\left(-0.108620604648879 + 0.226769016229517\right) + 5.27871073659258\right) + \left(-0.181242607181117 - 0.220087861825905 i\right)\right) + \left(-0.181242607181117 + 0.220087861825905 i\right)
=
5.03437393381099
5.034373933810995.03437393381099
producto
-0.108620604648879*0.226769016229517*5.27871073659258*(-0.181242607181117 - 0.220087861825905*I)*(-0.181242607181117 + 0.220087861825905*I)
5.27871073659258(0.1086206046488790.226769016229517)(0.1812426071811170.220087861825905i)(0.181242607181117+0.220087861825905i)5.27871073659258 \left(- 0.108620604648879 \cdot 0.226769016229517\right) \left(-0.181242607181117 - 0.220087861825905 i\right) \left(-0.181242607181117 + 0.220087861825905 i\right)
=
-0.0105693390101975
0.0105693390101975-0.0105693390101975
-0.0105693390101975
Respuesta rápida [src]
a1 = -0.108620604648879
a1=0.108620604648879a_{1} = -0.108620604648879
a2 = 0.226769016229517
a2=0.226769016229517a_{2} = 0.226769016229517
a3 = 5.27871073659258
a3=5.27871073659258a_{3} = 5.27871073659258
a4 = -0.181242607181117 - 0.220087861825905*I
a4=0.1812426071811170.220087861825905ia_{4} = -0.181242607181117 - 0.220087861825905 i
a5 = -0.181242607181117 + 0.220087861825905*I
a5=0.181242607181117+0.220087861825905ia_{5} = -0.181242607181117 + 0.220087861825905 i
a5 = -0.181242607181117 + 0.220087861825905*i
Respuesta numérica [src]
a1 = -0.108620604648879
a2 = 0.226769016229517
a3 = 5.27871073659258
a4 = -0.181242607181117 - 0.220087861825905*i
a5 = -0.181242607181117 + 0.220087861825905*i
a5 = -0.181242607181117 + 0.220087861825905*i