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sin(3*x)-sin(4*x)+sin(5*x)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(3*x) - sin(4*x) + sin(5*x) = 0
$$\left(\sin{\left(3 x \right)} - \sin{\left(4 x \right)}\right) + \sin{\left(5 x \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
  3*pi   pi   pi   pi   pi   pi   pi   3*pi     
- ---- - -- - -- - -- + -- + -- + -- + ---- + pi
   4     2    3    4    4    3    2     4       
$$\left(\left(\left(\left(\left(\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{2}\right) - \frac{\pi}{3}\right) - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{\pi}{3}\right) + \frac{\pi}{2}\right) + \frac{3 \pi}{4}\right) + \pi$$
=
pi
$$\pi$$
producto
  -3*pi -pi  -pi  -pi  pi pi pi 3*pi   
0*-----*----*----*----*--*--*--*----*pi
    4    2    3    4   4  3  2   4     
$$\pi \frac{3 \pi}{4} \frac{\pi}{2} \frac{\pi}{3} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot - \frac{\pi}{3} \cdot - \frac{\pi}{2} \cdot 0 \left(- \frac{3 \pi}{4}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -3*pi
x2 = -----
       4  
$$x_{2} = - \frac{3 \pi}{4}$$
     -pi 
x3 = ----
      2  
$$x_{3} = - \frac{\pi}{2}$$
     -pi 
x4 = ----
      3  
$$x_{4} = - \frac{\pi}{3}$$
     -pi 
x5 = ----
      4  
$$x_{5} = - \frac{\pi}{4}$$
     pi
x6 = --
     4 
$$x_{6} = \frac{\pi}{4}$$
     pi
x7 = --
     3 
$$x_{7} = \frac{\pi}{3}$$
     pi
x8 = --
     2 
$$x_{8} = \frac{\pi}{2}$$
     3*pi
x9 = ----
      4  
$$x_{9} = \frac{3 \pi}{4}$$
x10 = pi
$$x_{10} = \pi$$
x10 = pi
Respuesta numérica [src]
x1 = 18.0641577581413
x2 = 11.5191730631626
x3 = 14.1371669411541
x4 = -80.1106126665397
x5 = -7.85398163397448
x6 = -4.71238898038469
x7 = 74.3510261349584
x8 = -59.6902604182061
x9 = 17.8023583703422
x10 = -69.9004365423729
x11 = 32.2013246992954
x12 = 46.3384916404494
x13 = 26.1799387799149
x14 = 95.8185759344887
x15 = 72.2566310325652
x16 = -98.174770424681
x17 = 80.1106126665397
x18 = 70.162235930172
x19 = 94.2477796076938
x20 = 32.9867228626928
x21 = -24.0855436775217
x22 = 7.85398163397448
x23 = -29.845130209103
x24 = -91.8915851175014
x25 = 47.9092879672443
x26 = -87.9645943005142
x27 = 42.4115008234622
x28 = 0.0
x29 = 30.3687289847013
x30 = 54.1924732744239
x31 = 50.2654824574367
x32 = 98.9601685880785
x33 = 68.329640215578
x34 = -45.553093477052
x35 = -21.9911485751286
x36 = 58.1194640914112
x37 = -24.3473430653209
x38 = -85.6083998103219
x39 = -47.9092879672443
x40 = -32.2013246992954
x41 = 40.0553063332699
x42 = -33.7721210260903
x43 = -36.1283155162826
x44 = 63.8790506229925
x45 = 87.9645943005142
x46 = -51.8362787842316
x47 = -73.8274273593601
x48 = -19.8967534727354
x49 = 61.261056745001
x50 = -95.8185759344887
x51 = -25.9181393921158
x52 = 38.7463093942741
x53 = -43.9822971502571
x54 = -37.6991118430775
x55 = 83.2522053201295
x56 = -65.9734457253857
x57 = -13.3517687777566
x58 = -1.5707963267949
x59 = 10.2101761241668
x60 = 76.4454212373516
x61 = 76.1836218495525
x62 = 6.28318530717959
x63 = -17.8023583703422
x64 = 90.3207887907066
x65 = 28.2743338823081
x66 = -3.92699081698724
x67 = -68.0678408277789
x68 = -55.7632696012188
x69 = 86.3937979737193
x70 = -40.0553063332699
x71 = 43.9822971502571
x72 = 91.8915851175014
x73 = -99.7455667514759
x74 = 65.9734457253857
x75 = -41.6261026600648
x76 = -54.1924732744239
x77 = 2.35619449019234
x78 = -76.1836218495525
x79 = -77.7544181763474
x80 = 3.92699081698724
x81 = -15.707963267949
x82 = -84.037603483527
x83 = -48.6946861306418
x84 = -11.7809724509617
x85 = 55.5014702134197
x86 = 36.1283155162826
x87 = -10.2101761241668
x88 = -56.5486677646163
x89 = 51.8362787842316
x90 = -57.5958653158129
x91 = 24.0855436775217
x92 = -61.7846555205993
x93 = 21.9911485751286
x94 = 62.0464549083984
x95 = -89.5353906273091
x96 = 98.174770424681
x97 = -63.8790506229925
x98 = 19.8967534727354
x99 = -81.6814089933346
x100 = 84.037603483527
x100 = 84.037603483527