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tg2x=3tgx la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
tan(2*x) = 3*tan(x)
tan⁡(2x)=3tan⁡(x)\tan{\left(2 x \right)} = 3 \tan{\left(x \right)}
Simplificar
Gráfica
0-80-60-40-2020406080-100100-200000200000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
  5*pi   pi   pi   5*pi     
- ---- - -- + -- + ---- + pi
   6     6    6     6
(((−5π6−π6)+π6)+5π6)+π\left(\left(\left(- \frac{5 \pi}{6} - \frac{\pi}{6}\right) + \frac{\pi}{6}\right) + \frac{5 \pi}{6}\right) + \pi 
=
pi
π\pi 
producto
  -5*pi -pi  pi 5*pi   
0*-----*----*--*----*pi
    6    6   6   6
π5π6π6⋅−π6⋅0(−5π6)\pi \frac{5 \pi}{6} \frac{\pi}{6} \cdot - \frac{\pi}{6} \cdot 0 \left(- \frac{5 \pi}{6}\right) 
=
0
00 
0
Respuesta rápida [src] 
x1 = 0
x1=0x_{1} = 0 
     -5*pi
x2 = -----
       6
x2=−5π6x_{2} = - \frac{5 \pi}{6} 
     -pi 
x3 = ----
      6
x3=−π6x_{3} = - \frac{\pi}{6} 
     pi
x4 = --
     6
x4=π6x_{4} = \frac{\pi}{6} 
     5*pi
x5 = ----
      6
x5=5π6x_{5} = \frac{5 \pi}{6} 
x6 = pi
x6=πx_{6} = \pi 
x6 = pi
Respuesta numérica [src] 
x1 = 82.2050077689329
x2 = 62.8318530717959
x3 = 91.106186954104
x4 = 62.3082542961976
x5 = 97.9129710368819
x6 = -69.6386371545737
x7 = 72.2566310325652
x8 = -43.9822971502571
x9 = 9.94837673636768
x10 = -69.1150383789755
x11 = 12.0427718387609
x12 = -37.6991118430775
x13 = -49.7418836818384
x14 = -12.5663706143592
x15 = -75.9218224617533
x16 = -40.317105721069
x17 = -21.9911485751286
x18 = 50.2654824574367
x19 = -15.707963267949
x20 = 21.9911485751286
x21 = -87.9645943005142
x22 = -47.6474885794452
x23 = -57.0722665402146
x24 = -79.0634151153431
x25 = 84.8230016469244
x26 = 38.2227106186758
x27 = 59.1666616426078
x28 = 34.0339204138894
x29 = -31.9395253114962
x30 = 60.2138591938044
x31 = 31.4159265358979
x32 = 9.42477796076938
x33 = -78.0162175641465
x34 = -16.2315620435473
x35 = -93.7241808320955
x36 = -65.9734457253857
x37 = 28.2743338823081
x38 = 94.2477796076938
x39 = -6.80678408277789
x40 = 75.9218224617533
x41 = 37.6991118430775
x42 = 90.5825881785057
x43 = 6.28318530717959
x44 = -25.6563400043166
x45 = -52.8834763354282
x46 = 47.6474885794452
x47 = -91.6297857297023
x48 = 15.1843644923507
x49 = -75.398223686155
x50 = 27.7507351067098
x51 = -12.0427718387609
x52 = 56.025068989018
x53 = -56.025068989018
x54 = 41.3643032722656
x55 = 78.0162175641465
x56 = 0.0
x57 = -24.60914245312
x58 = 18.3259571459405
x59 = 153.9380400259
x60 = -9.94837673636768
x61 = -62.8318530717959
x62 = -34.0339204138894
x63 = -100.007366139275
x64 = -97.3893722612836
x65 = -28.2743338823081
x66 = 81.6814089933346
x67 = 19.3731546971371
x68 = -84.8230016469244
x69 = -84.2994028713261
x70 = 40.317105721069
x71 = -97.9129710368819
x72 = -18.8495559215388
x73 = -35.081117965086
x74 = 100.007366139275
x75 = -53.9306738866248
x76 = -28.7979326579064
x77 = 31.9395253114962
x78 = -3.66519142918809
x79 = 87.9645943005142
x80 = 84.2994028713261
x81 = 66.497044500984
x82 = 53.9306738866248
x83 = 43.9822971502571
x84 = -81.6814089933346
x85 = 3.14159265358979
x86 = -2.61799387799149
x87 = 16.2315620435473
x88 = -71.733032256967
x89 = -59.6902604182061
x90 = 65.9734457253857
x91 = -5.75958653158129
x92 = -27.7507351067098
x93 = 75.398223686155
x94 = -47.1238898038469
x94 = -47.1238898038469
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