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tan(3*x)+tan(x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
tan(3*x) + tan(x) = 0
$$\tan{\left(x \right)} + \tan{\left(3 x \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
  3*pi   pi   pi   3*pi     
- ---- - -- + -- + ---- + pi
   4     4    4     4       
$$\left(\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{3 \pi}{4}\right) + \pi$$
=
pi
$$\pi$$
producto
  -3*pi -pi  pi 3*pi   
0*-----*----*--*----*pi
    4    4   4   4     
$$\pi \frac{3 \pi}{4} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot 0 \left(- \frac{3 \pi}{4}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -3*pi
x2 = -----
       4  
$$x_{2} = - \frac{3 \pi}{4}$$
     -pi 
x3 = ----
      4  
$$x_{3} = - \frac{\pi}{4}$$
     pi
x4 = --
     4 
$$x_{4} = \frac{\pi}{4}$$
     3*pi
x5 = ----
      4  
$$x_{5} = \frac{3 \pi}{4}$$
x6 = pi
$$x_{6} = \pi$$
x6 = pi
Respuesta numérica [src]
x1 = 58.9048622548086
x2 = -74.6128255227576
x3 = -33.7721210260903
x4 = 34.5575191894877
x5 = -96.6039740978861
x6 = 3.92699081698724
x7 = -47.9092879672443
x8 = 46.3384916404494
x9 = 90.3207887907066
x10 = -99.7455667514759
x11 = -7.06858347057703
x12 = -43.9822971502571
x13 = 28.2743338823081
x14 = -85.6083998103219
x15 = -2.35619449019234
x16 = -55.7632696012188
x17 = 63.6172512351933
x18 = 32.2013246992954
x19 = 18.0641577581413
x20 = 59.6902604182061
x21 = 56.5486677646163
x22 = 100.530964914873
x23 = -91.8915851175014
x24 = 15.707963267949
x25 = -90.3207887907066
x26 = -13.3517687777566
x27 = -15.707963267949
x28 = -37.6991118430775
x29 = 91.8915851175014
x30 = -72.2566310325652
x31 = -3.92699081698724
x32 = 40.0553063332699
x33 = -25.9181393921158
x34 = 65.9734457253857
x35 = 2.35619449019234
x36 = 47.9092879672443
x37 = 12.5663706143592
x38 = 80.8960108299372
x39 = 96.6039740978861
x40 = -11.7809724509617
x41 = 21.9911485751286
x42 = 14.9225651045515
x43 = -62.0464549083984
x44 = -6.28318530717959
x45 = -65.9734457253857
x46 = -18.0641577581413
x47 = 81.6814089933346
x48 = 54.1924732744239
x49 = 78.5398163397448
x50 = 84.037603483527
x51 = -77.7544181763474
x52 = -46.3384916404494
x53 = 24.3473430653209
x54 = -97.3893722612836
x55 = 37.6991118430775
x56 = 19.6349540849362
x57 = -21.9911485751286
x58 = -50.2654824574367
x59 = -94.2477796076938
x60 = -53.4070751110265
x61 = 85.6083998103219
x62 = 62.0464549083984
x63 = -57.3340659280137
x64 = 76.1836218495525
x65 = 69.9004365423729
x66 = 8.63937979737193
x67 = -59.6902604182061
x68 = -69.9004365423729
x69 = 68.329640215578
x70 = -63.6172512351933
x71 = 98.174770424681
x72 = 41.6261026600648
x73 = -19.6349540849362
x74 = -24.3473430653209
x75 = -87.9645943005142
x76 = -41.6261026600648
x77 = -52.621676947629
x78 = -28.2743338823081
x79 = -30.6305283725005
x80 = 6.28318530717959
x81 = 30.6305283725005
x82 = 0.0
x83 = -84.037603483527
x84 = 10.2101761241668
x85 = 87.9645943005142
x86 = 43.9822971502571
x87 = 36.9137136796801
x88 = -75.398223686155
x89 = 25.9181393921158
x90 = -9.42477796076938
x91 = 74.6128255227576
x92 = -31.4159265358979
x93 = 72.2566310325652
x94 = -68.329640215578
x95 = -79.3252145031423
x96 = 94.2477796076938
x97 = -40.0553063332699
x98 = 52.621676947629
x99 = -81.6814089933346
x100 = -35.3429173528852
x101 = 50.2654824574367
x101 = 50.2654824574367