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7*x^7-x^6-490*x^5+70*x^4+11137*x^3-1591*x^2-82110*x+11730=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   7    6        5       4          3         2                      
7*x  - x  - 490*x  + 70*x  + 11137*x  - 1591*x  - 82110*x + 11730 = 0
(82110x+(1591x2+(11137x3+(70x4+(490x5+(7x7x6))))))+11730=0\left(- 82110 x + \left(- 1591 x^{2} + \left(11137 x^{3} + \left(70 x^{4} + \left(- 490 x^{5} + \left(7 x^{7} - x^{6}\right)\right)\right)\right)\right)\right) + 11730 = 0
Suma y producto de raíces [src]
suma
1     ____     ____     ____     ____     ____     ____
- - \/ 17  + \/ 17  - \/ 23  + \/ 23  - \/ 30  + \/ 30 
7                                                      
(30+((23+((1717)+17))+23))+30\left(- \sqrt{30} + \left(\left(- \sqrt{23} + \left(\left(\frac{1}{7} - \sqrt{17}\right) + \sqrt{17}\right)\right) + \sqrt{23}\right)\right) + \sqrt{30}
=
1/7
17\frac{1}{7}
producto
   ____                                          
-\/ 17     ____ /   ____\   ____ /   ____\   ____
--------*\/ 17 *\-\/ 23 /*\/ 23 *\-\/ 30 /*\/ 30 
   7                                             
3030232317(1)177\sqrt{30} \cdot - \sqrt{30} \sqrt{23} \cdot - \sqrt{23} \sqrt{17} \frac{\left(-1\right) \sqrt{17}}{7}
=
-11730/7
117307- \frac{11730}{7}
-11730/7
Respuesta rápida [src]
x1 = 1/7
x1=17x_{1} = \frac{1}{7}
        ____
x2 = -\/ 17 
x2=17x_{2} = - \sqrt{17}
       ____
x3 = \/ 17 
x3=17x_{3} = \sqrt{17}
        ____
x4 = -\/ 23 
x4=23x_{4} = - \sqrt{23}
       ____
x5 = \/ 23 
x5=23x_{5} = \sqrt{23}
        ____
x6 = -\/ 30 
x6=30x_{6} = - \sqrt{30}
       ____
x7 = \/ 30 
x7=30x_{7} = \sqrt{30}
x7 = sqrt(30)
Respuesta numérica [src]
x1 = -5.47722557505166
x2 = 4.79583152331272
x3 = -4.12310562561766
x4 = 0.142857142857143
x5 = 4.12310562561766
x6 = -4.79583152331272
x7 = 5.47722557505166
x7 = 5.47722557505166