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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=((((25(x2+1)6+25(x2+1)5)+25(x2+1)4)+25(x2+1)3)+25(x2+1)2)+25(x2+1)11100 = \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
05-15-10-510-5000000000000050000000000000
Respuesta rápida [src]
x1 = -2.9927864598355
x1=2.9927864598355x_{1} = -2.9927864598355
x2 = -0.761798725814435
x2=0.761798725814435x_{2} = -0.761798725814435
x3 = -2.55060096001705 - 0.847428998558728*I
x3=2.550600960017050.847428998558728ix_{3} = -2.55060096001705 - 0.847428998558728 i
x4 = -2.55060096001705 + 0.847428998558728*I
x4=2.55060096001705+0.847428998558728ix_{4} = -2.55060096001705 + 0.847428998558728 i
x5 = -1.54937917443071 - 0.977510186322169*I
x5=1.549379174430710.977510186322169ix_{5} = -1.54937917443071 - 0.977510186322169 i
x6 = -1.54937917443071 + 0.977510186322169*I
x6=1.54937917443071+0.977510186322169ix_{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
((1.549379174430710.977510186322169i)+(((2.99278645983550.761798725814435)+(2.550600960017050.847428998558728i))+(2.55060096001705+0.847428998558728i)))+(1.54937917443071+0.977510186322169i)\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
11.9545454545455-11.9545454545455
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)
(0.761798725814435)2.9927864598355(2.550600960017050.847428998558728i)(2.55060096001705+0.847428998558728i)(1.549379174430710.977510186322169i)(1.54937917443071+0.977510186322169i)- \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
55.272727272727355.2727272727273
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