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11^(2*x-1)-13^(2*x-1)+11^(2*x-2)+13^(2*x-2)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
  2*x - 1     2*x - 1     2*x - 2     2*x - 2    
11        - 13        + 11        + 13        = 0
$$13^{2 x - 2} + \left(11^{2 x - 2} + \left(11^{2 x - 1} - 13^{2 x - 1}\right)\right) = 0$$
Gráfica
Suma y producto de raíces [src]
suma
          pi*I 
1 + 1 + -------
           /11\
        log|--|
           \13/
$$1 + \left(1 + \frac{i \pi}{\log{\left(\frac{11}{13} \right)}}\right)$$
=
      pi*I 
2 + -------
       /11\
    log|--|
       \13/
$$2 + \frac{i \pi}{\log{\left(\frac{11}{13} \right)}}$$
producto
      pi*I 
1 + -------
       /11\
    log|--|
       \13/
$$1 + \frac{i \pi}{\log{\left(\frac{11}{13} \right)}}$$
=
      pi*I 
1 + -------
       /11\
    log|--|
       \13/
$$1 + \frac{i \pi}{\log{\left(\frac{11}{13} \right)}}$$
1 + pi*i/log(11/13)
Respuesta rápida [src]
x1 = 1
$$x_{1} = 1$$
           pi*I 
x2 = 1 + -------
            /11\
         log|--|
            \13/
$$x_{2} = 1 + \frac{i \pi}{\log{\left(\frac{11}{13} \right)}}$$
x2 = 1 + i*pi/log(11/13)
Respuesta numérica [src]
x1 = -26.2531877479318
x2 = -92.2531087799367
x3 = -52.2531087932621
x4 = -86.2531087799368
x5 = -12.261892815048
x6 = -40.2531095142771
x7 = -34.2531142314058
x8 = -42.2531091563753
x9 = 1.0
x10 = -84.253108779937
x11 = -56.2531087834383
x12 = -104.253108779937
x13 = -96.2531087799367
x14 = -94.2531087799367
x15 = -16.2553588635804
x16 = -18.2542572093987
x17 = -14.2575358952642
x18 = -98.2531087799367
x19 = -10.2708399099692
x20 = -36.2531115744507
x21 = -72.2531087799534
x22 = -70.2531087799693
x23 = -22.2534095531045
x24 = -100.253108779937
x25 = -44.2531089729073
x26 = -50.2531088059313
x27 = -58.2531087817317
x28 = -30.2531295264583
x29 = -46.2531088788576
x30 = -74.2531087799452
x31 = -8.29025024040265
x32 = -64.2531087801785
x33 = -24.2532628731139
x34 = -6.33824192830667
x35 = -90.2531087799367
x36 = -32.2531194146349
x37 = -48.2531088306457
x38 = -38.2531102124586
x39 = -54.2531087867676
x40 = -102.253108779937
x41 = -76.2531087799411
x42 = -80.2531087799378
x43 = -28.253149254485
x44 = -20.2536961825047
x45 = -88.2531087799368
x46 = -82.2531087799373
x47 = -66.2531087800606
x48 = -68.2531087800002
x49 = -78.2531087799389
x50 = -62.2531087804084
x51 = -60.2531087808569
x51 = -60.2531087808569