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sin(3*x)+sin(x)=0

sin(3*x)+sin(x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(3*x) + sin(x) = 0
$$\sin{\left(x \right)} + \sin{\left(3 x \right)} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
x4 = pi
$$x_{4} = \pi$$
x4 = pi
Suma y producto de raíces [src]
suma
  pi   pi     
- -- + -- + pi
  2    2      
$$\left(- \frac{\pi}{2} + \frac{\pi}{2}\right) + \pi$$
=
pi
$$\pi$$
producto
  -pi  pi   
0*----*--*pi
   2   2    
$$\pi \frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -17.278759737384
x2 = 100.530964914873
x3 = 1.57079648184495
x4 = 9.42477796076938
x5 = -81.6814089933346
x6 = 65.9734457253857
x7 = 64.4026493118058
x8 = -43.9822971502571
x9 = 248.185819633594
x10 = 78.5398163397448
x11 = -86.3937978155375
x12 = -31.4159265358979
x13 = 21.9911485751286
x14 = -53.4070751110265
x15 = -87.9645943005142
x16 = -23.561945003804
x17 = 80.1106131546315
x18 = 94.2477796076938
x19 = 20.4203521537986
x20 = 12.5663706143592
x21 = -36.128315423197
x22 = 7.85398173541774
x23 = -7.85398150264842
x24 = -21.9911485751286
x25 = -15.707963267949
x26 = -67.5442421609972
x27 = -59.6902604182061
x28 = 28.2743338823081
x29 = -75.398223686155
x30 = -9.42477796076938
x31 = 48.6946859820148
x32 = 92.6769831301454
x33 = 36.1283160593477
x34 = 14.1371670924752
x35 = -65.9734457253857
x36 = 29.8451303144929
x37 = -51.8362786906154
x38 = 15.707963267949
x39 = -58.1194640027517
x40 = 56.5486677646163
x41 = -14.13716684381
x42 = 42.4115007327518
x43 = -29.8451300981866
x44 = 95.8185760508519
x45 = 34.5575191894877
x46 = 73.8274274722061
x47 = 72.2566310325652
x48 = 0.0
x49 = 89.5353907744432
x50 = -89.5353907394375
x51 = -42.4115006663339
x52 = 43.9822971502571
x53 = -97.3893722612836
x54 = -39.2699083096144
x55 = 87.9645943005142
x56 = 45.5530936288414
x57 = -83.2522054524035
x58 = -92.6769836764771
x59 = 59.6902604182061
x60 = -72.2566310325652
x61 = 67.5442422018325
x62 = 4.71238883532779
x63 = -37.6991118430775
x64 = -1.57079642505341
x65 = -28.2743338823081
x66 = -95.818575585294
x67 = 23.5619450555027
x68 = -64.4026492408158
x69 = -70.6858349962623
x70 = -94.2477796076938
x71 = 37.6991118430775
x72 = -50.2654824574367
x73 = 81.6814089933346
x74 = -45.5530935824522
x75 = -73.8274272804402
x76 = 50.2654824574367
x77 = -95.8185758682892
x78 = -61.261056881309
x79 = -80.1106125824842
x80 = -6.28318530717959
x81 = -20.4203520921076
x82 = 7.85398164444075
x83 = 70.6858345559153
x84 = 6.28318530717959
x85 = 26.7035374084741
x86 = 51.8362788934209
x87 = 86.3937978909611
x87 = 86.3937978909611
Gráfico
sin(3*x)+sin(x)=0 la ecuación