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sin(4x)+sin(2*x)+2sin(3*x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(4*x) + sin(2*x) + 2*sin(3*x) = 0
$$\left(\sin{\left(2 x \right)} + \sin{\left(4 x \right)}\right) + 2 \sin{\left(3 x \right)} = 0$$
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 = 17.8023583703422
x2 = -9.42484110401629
x3 = -35.6047167406843
x4 = -28.2742709425758
x5 = -99.4837673636768
x6 = 70.162235930172
x7 = 32.4631240870945
x8 = 97.3894217906777
x9 = 96.342174710087
x10 = -28.2743854978637
x11 = 84.8230460827937
x12 = -68.0678408277789
x13 = 2.0943951023932
x14 = -41.8879020478639
x15 = 43.9822971502571
x16 = -85.870199198121
x17 = 34.5574579281202
x18 = -53.4071140669121
x19 = 77.4926187885482
x20 = 4.18879020478639
x21 = -15.7079741248417
x22 = 65.9734547975227
x23 = -6.28318530717959
x24 = -72.2565717262065
x25 = 26.1799387799149
x26 = 52.3598775598299
x27 = -8.37758040957278
x28 = 63.8790506229925
x29 = 28.274327541609
x30 = 68.0678408277789
x31 = -13.6135681655558
x32 = -52.3598775598299
x33 = -57.5958653158129
x34 = -34.5575668280315
x35 = -97.3894382928363
x36 = 94.2477796076938
x37 = -55.5014702134197
x38 = -59.6902756752967
x39 = 76.4454212373516
x40 = 21.9911516411717
x41 = -19.8967534727354
x42 = 59.6903269755183
x43 = 8.37758040957278
x44 = -11.5191730631626
x45 = 48.1710873550435
x46 = 92.1533845053006
x47 = 0.0
x48 = -96.342174710087
x49 = 40.8407754636428
x50 = -50.2654824574367
x51 = -81.6814089933346
x52 = -61.7846555205993
x53 = -83.7758040957278
x54 = -90.0589894029074
x55 = -87.9645943005142
x56 = 6.28318530717959
x57 = -39.7935069454707
x58 = -26.1799387799149
x59 = 78.5397572076219
x60 = 46.0766922526503
x61 = -37.6991118430775
x62 = -46.0766922526503
x63 = -79.5870138909414
x64 = 57.5958653158129
x65 = 34.5574868883603
x66 = 30.3687289847013
x67 = 61.7846555205993
x68 = -3.14163790432651
x69 = -29.3215314335047
x70 = -21.9911516398063
x71 = -70.162235930172
x72 = -43.9822971502571
x73 = -65.9734546868105
x74 = 19.8967534727354
x75 = -53.4071398580303
x76 = 87.9645943005142
x77 = 15.7080281535991
x78 = -17.8023583703422
x79 = 24.0855436775217
x80 = 100.530964914873
x81 = 74.3510261349584
x82 = 9.42475572024568
x83 = -94.2477796076938
x84 = -72.2565702977736
x85 = 36.6519142918809
x86 = 72.2566292958571
x87 = 41.8879020478639
x88 = 85.870199198121
x89 = 90.0589894029074
x90 = -2.0943951023932
x91 = -24.0855436775217
x92 = -63.8790506229925
x93 = 50.2654824574367
x94 = -78.5398200478104
x94 = -78.5398200478104