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tgx+tg2x=tg3x la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
tan(x) + tan(2*x) = tan(3*x)
$$\tan{\left(x \right)} + \tan{\left(2 x \right)} = \tan{\left(3 x \right)}$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -2*pi
x2 = -----
       3  
$$x_{2} = - \frac{2 \pi}{3}$$
     -pi 
x3 = ----
      3  
$$x_{3} = - \frac{\pi}{3}$$
     pi
x4 = --
     3 
$$x_{4} = \frac{\pi}{3}$$
     2*pi
x5 = ----
      3  
$$x_{5} = \frac{2 \pi}{3}$$
x6 = pi
$$x_{6} = \pi$$
x6 = pi
Suma y producto de raíces [src]
suma
  2*pi   pi   pi   2*pi     
- ---- - -- + -- + ---- + pi
   3     3    3     3       
$$\left(\left(\left(- \frac{2 \pi}{3} - \frac{\pi}{3}\right) + \frac{\pi}{3}\right) + \frac{2 \pi}{3}\right) + \pi$$
=
pi
$$\pi$$
producto
  -2*pi -pi  pi 2*pi   
0*-----*----*--*----*pi
    3    3   3   3     
$$\pi \frac{2 \pi}{3} \frac{\pi}{3} \cdot - \frac{\pi}{3} \cdot 0 \left(- \frac{2 \pi}{3}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 24.0855436775217
x2 = -21.9911516431803
x3 = 85.870199198121
x4 = -7.33038285837618
x5 = -74.3510261349584
x6 = 65.9734548782878
x7 = 41.8879020478639
x8 = 74.3510261349584
x9 = 14.6607657167524
x10 = -41.8879020478639
x11 = 83.7758040957278
x12 = 43.982303272884
x13 = -13.6135681655558
x14 = -19.8967534727354
x15 = 94.2477801894998
x16 = 8.37758040957278
x17 = 50.2654784033431
x18 = -68.0678408277789
x19 = -87.9646061403382
x20 = -90.0589894029074
x21 = -85.870199198121
x22 = -11.5191730631626
x23 = -61.7846555205993
x24 = 30.3687289847013
x25 = 92.1533845053006
x26 = 48.1710873550435
x27 = -17.8023583703422
x28 = -24.0855436775217
x29 = 6.28317662778413
x30 = -43.982303253589
x31 = -35.6047167406843
x32 = 58.6430628670095
x33 = 0.0
x34 = 32.4631240870945
x35 = -81.6814269599112
x36 = 52.3598775598299
x37 = -15.7079742594227
x38 = -57.5958653158129
x39 = -37.6991251504123
x40 = 46.0766922526503
x41 = -83.7758040957278
x42 = -4.18879020478639
x43 = -39.7935069454707
x44 = 28.2743275145522
x45 = -63.8790506229925
x46 = 68.0678408277789
x47 = 26.1799387799149
x48 = 2.0943951023932
x49 = 63.8790506229925
x50 = 40.8406447330932
x51 = 70.162235930172
x52 = 21.9911516443743
x53 = -46.0766922526503
x54 = -2.0943951023932
x55 = -72.2566270462168
x56 = -79.5870138909414
x57 = 76.4454212373516
x58 = 72.2566292952887
x59 = 90.0589894029074
x60 = 80.634211442138
x61 = 87.9646064597778
x62 = -59.690276049124
x63 = -65.9734547790939
x64 = 19.8967534727354
x65 = 96.342174710087
x66 = -52.3598775598299
x67 = -26.1799387799149
x68 = 98.4365698124802
x69 = -96.342174710087
x70 = 4.18879020478639
x71 = -30.3687289847013
x72 = 36.6519142918809
x72 = 36.6519142918809