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1100=25/(x/2+1)^6+25/(x/2+1)^5+25/(x/2+1)^4+25/(x/2+1)^3+25/(x/2+1)^2+25/(x/2+1)^1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
          25         25         25         25         25         25   
1100 = -------- + -------- + -------- + -------- + -------- + --------
              6          5          4          3          2          1
       /x    \    /x    \    /x    \    /x    \    /x    \    /x    \ 
       |- + 1|    |- + 1|    |- + 1|    |- + 1|    |- + 1|    |- + 1| 
       \2    /    \2    /    \2    /    \2    /    \2    /    \2    / 
$$1100 = \left(\left(\left(\left(\frac{25}{\left(\frac{x}{2} + 1\right)^{6}} + \frac{25}{\left(\frac{x}{2} + 1\right)^{5}}\right) + \frac{25}{\left(\frac{x}{2} + 1\right)^{4}}\right) + \frac{25}{\left(\frac{x}{2} + 1\right)^{3}}\right) + \frac{25}{\left(\frac{x}{2} + 1\right)^{2}}\right) + \frac{25}{\left(\frac{x}{2} + 1\right)^{1}}$$
Gráfica
Respuesta rápida [src]
x1 = -2.9927864598355
$$x_{1} = -2.9927864598355$$
x2 = -0.761798725814435
$$x_{2} = -0.761798725814435$$
x3 = -2.55060096001705 - 0.847428998558728*I
$$x_{3} = -2.55060096001705 - 0.847428998558728 i$$
x4 = -2.55060096001705 + 0.847428998558728*I
$$x_{4} = -2.55060096001705 + 0.847428998558728 i$$
x5 = -1.54937917443071 - 0.977510186322169*I
$$x_{5} = -1.54937917443071 - 0.977510186322169 i$$
x6 = -1.54937917443071 + 0.977510186322169*I
$$x_{6} = -1.54937917443071 + 0.977510186322169 i$$
x6 = -1.54937917443071 + 0.977510186322169*i
Suma y producto de raíces [src]
suma
-2.9927864598355 - 0.761798725814435 + -2.55060096001705 - 0.847428998558728*I + -2.55060096001705 + 0.847428998558728*I + -1.54937917443071 - 0.977510186322169*I + -1.54937917443071 + 0.977510186322169*I
$$\left(\left(-1.54937917443071 - 0.977510186322169 i\right) + \left(\left(\left(-2.9927864598355 - 0.761798725814435\right) + \left(-2.55060096001705 - 0.847428998558728 i\right)\right) + \left(-2.55060096001705 + 0.847428998558728 i\right)\right)\right) + \left(-1.54937917443071 + 0.977510186322169 i\right)$$
=
-11.9545454545455
$$-11.9545454545455$$
producto
-2.9927864598355*-0.761798725814435*(-2.55060096001705 - 0.847428998558728*I)*(-2.55060096001705 + 0.847428998558728*I)*(-1.54937917443071 - 0.977510186322169*I)*(-1.54937917443071 + 0.977510186322169*I)
$$- \left(-0.761798725814435\right) 2.9927864598355 \left(-2.55060096001705 - 0.847428998558728 i\right) \left(-2.55060096001705 + 0.847428998558728 i\right) \left(-1.54937917443071 - 0.977510186322169 i\right) \left(-1.54937917443071 + 0.977510186322169 i\right)$$
=
55.2727272727273
$$55.2727272727273$$
55.2727272727273
Respuesta numérica [src]
x1 = -2.9927864598355
x2 = -0.761798725814435
x3 = -2.55060096001705 - 0.847428998558728*i
x4 = -2.55060096001705 + 0.847428998558728*i
x5 = -1.54937917443071 - 0.977510186322169*i
x6 = -1.54937917443071 + 0.977510186322169*i
x6 = -1.54937917443071 + 0.977510186322169*i