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cos(4*x)*cos(x)-cos(5*x)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(4*x)*cos(x) - cos(5*x) = 0
$$\cos{\left(x \right)} \cos{\left(4 x \right)} - \cos{\left(5 x \right)} = 0$$
Gráfica
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 = ----
      4  
$$x_{4} = - \frac{\pi}{4}$$
     pi
x5 = --
     4 
$$x_{5} = \frac{\pi}{4}$$
     pi
x6 = --
     2 
$$x_{6} = \frac{\pi}{2}$$
     3*pi
x7 = ----
      4  
$$x_{7} = \frac{3 \pi}{4}$$
x8 = pi
$$x_{8} = \pi$$
x8 = pi
Suma y producto de raíces [src]
suma
  3*pi   pi   pi   pi   pi   3*pi     
- ---- - -- - -- + -- + -- + ---- + pi
   4     2    4    4    2     4       
$$\left(\left(\left(\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{2}\right) - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{\pi}{2}\right) + \frac{3 \pi}{4}\right) + \pi$$
=
pi
$$\pi$$
producto
  -3*pi -pi  -pi  pi pi 3*pi   
0*-----*----*----*--*--*----*pi
    4    2    4   4  2   4     
$$\pi \frac{3 \pi}{4} \frac{\pi}{2} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot - \frac{\pi}{2} \cdot 0 \left(- \frac{3 \pi}{4}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 54.9778714378214
x2 = -6.28318541314278
x3 = -41.6261026600648
x4 = 18.0641577581413
x5 = 25.9181393921158
x6 = -14.1371669411541
x7 = -59.6902604557557
x8 = 40.0553063332699
x9 = -47.9092879672443
x10 = 88.7499924639117
x11 = -1.5707963267949
x12 = 87.9645943340781
x13 = 73.8274273593601
x14 = -62.0464549083984
x15 = 28.2743338654485
x16 = -3.92699081698724
x17 = -95.8185759344887
x18 = -84.037603483527
x19 = -63.6172512351933
x20 = 20.4203522483337
x21 = 50.2654824464402
x22 = 91.8915851175014
x23 = -15.7079632956883
x24 = 36.1283155162826
x25 = 58.1194640914112
x26 = -29.845130209103
x27 = -12.5663706330027
x28 = -44.7676953136546
x29 = 32.2013246992954
x30 = 6.28318528474291
x31 = -85.6083998103219
x32 = 100.530965006416
x33 = 3.92699081698724
x34 = 7.85398163397448
x35 = -81.6814090353974
x36 = 2.35619449019234
x37 = -94.2477795793487
x38 = -50.2654824738929
x39 = 76.1836218495525
x40 = 0.0
x41 = 56.5486679698067
x42 = 51.8362787842316
x43 = 46.3384916404494
x44 = 80.1106126665397
x45 = 47.9092879672443
x46 = -91.8915851175014
x47 = 37.6991116464517
x48 = -33.7721210260903
x49 = -53.4070749236107
x50 = -19.6349540849362
x51 = 14.1371669411541
x52 = -65.9734457660258
x53 = -21.9911485865625
x54 = -29.0597320457056
x55 = 84.037603483527
x56 = 42.4115008234622
x57 = -58.1194640914112
x58 = 22.776546738526
x59 = 68.329640215578
x60 = -11.7809724509617
x61 = 78.5398164977389
x62 = 21.9911485850882
x63 = 62.0464549083984
x64 = -25.9181393921158
x65 = -40.0553063332699
x66 = -65.1880475619882
x67 = 54.1924732744239
x68 = 15.707963093967
x69 = -28.2743339358627
x70 = 95.8185759344887
x71 = -72.256631022884
x72 = 90.3207887907066
x73 = -55.7632696012188
x74 = -36.1283155162826
x75 = 94.247779609354
x76 = -43.9822971750271
x77 = -51.8362787842316
x78 = -99.7455667514759
x79 = -18.0641577581413
x80 = -77.7544181763474
x81 = -73.8274273593601
x82 = 10.2101761241668
x83 = 29.845130209103
x84 = 65.9734457519451
x85 = 98.174770424681
x86 = 86.3937979737193
x87 = 64.4026493985908
x88 = -69.9004365423729
x89 = 43.9822971689995
x90 = 69.9004365423729
x91 = 72.2566310277346
x92 = 24.3473430653209
x93 = -37.6991118758531
x94 = -87.9645943605169
x95 = -80.1106126665397
x96 = -7.85398163397448
x96 = -7.85398163397448