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cos(3*x)-cos(7x)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cos(3*x) - cos(7*x) = 0
$$\cos{\left(3 x \right)} - \cos{\left(7 x \right)} = 0$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
x1 = 0
$$x_{1} = 0$$ 
     -4*pi
x2 = -----
       5
$$x_{2} = - \frac{4 \pi}{5}$$ 
     -3*pi
x3 = -----
       5
$$x_{3} = - \frac{3 \pi}{5}$$ 
     -2*pi
x4 = -----
       5
$$x_{4} = - \frac{2 \pi}{5}$$ 
     -pi 
x5 = ----
      5
$$x_{5} = - \frac{\pi}{5}$$ 
     pi
x6 = --
     5
$$x_{6} = \frac{\pi}{5}$$ 
     2*pi
x7 = ----
      5
$$x_{7} = \frac{2 \pi}{5}$$ 
     3*pi
x8 = ----
      5
$$x_{8} = \frac{3 \pi}{5}$$ 
     4*pi
x9 = ----
      5
$$x_{9} = \frac{4 \pi}{5}$$ 
x10 = pi
$$x_{10} = \pi$$ 
x10 = pi
Suma y producto de raíces [src] 
suma
  4*pi   3*pi   2*pi   pi   pi   2*pi   3*pi   4*pi     
- ---- - ---- - ---- - -- + -- + ---- + ---- + ---- + pi
   5      5      5     5    5     5      5      5
$$\left(\left(\left(\left(\left(\left(\left(- \frac{4 \pi}{5} - \frac{3 \pi}{5}\right) - \frac{2 \pi}{5}\right) - \frac{\pi}{5}\right) + \frac{\pi}{5}\right) + \frac{2 \pi}{5}\right) + \frac{3 \pi}{5}\right) + \frac{4 \pi}{5}\right) + \pi$$ 
=
pi
$$\pi$$ 
producto
  -4*pi -3*pi -2*pi -pi  pi 2*pi 3*pi 4*pi   
0*-----*-----*-----*----*--*----*----*----*pi
    5     5     5    5   5   5    5    5
$$\pi \frac{4 \pi}{5} \frac{3 \pi}{5} \frac{2 \pi}{5} \frac{\pi}{5} \cdot - \frac{\pi}{5} \cdot - \frac{2 \pi}{5} \cdot - \frac{3 \pi}{5} \cdot 0 \left(- \frac{4 \pi}{5}\right)$$ 
=
0
$$0$$ 
0
Respuesta numérica [src] 
x1 = -42.0973415581032
x2 = 87.9645943324532
x3 = -7.85398163397448
x4 = -1.88495559215388
x5 = -25.7610597594363
x6 = -15.7079632948427
x7 = -13.8230076757951
x8 = 62.2035345410779
x9 = -54.0353936417444
x10 = -29.845130209103
x11 = -10.0530964914873
x12 = 55.9203492338983
x13 = 26.3893782901543
x14 = 6.28318528523281
x15 = -87.9645943621284
x16 = -37.699111874524
x17 = 23.8761041672824
x18 = 64.0884901332318
x19 = 38.3274303737955
x20 = -23.8761041672824
x21 = 30.159289474462
x22 = -32.0442450666159
x23 = 58.1194640914112
x24 = 20.1061929829747
x25 = -73.8274273593601
x26 = 76.026542216873
x27 = -26.3893782901543
x28 = -59.6902604537943
x29 = 28.2743338656922
x30 = 0.0
x31 = -95.5044166691297
x32 = -77.9114978090269
x33 = 10.0530964914873
x34 = -20.1061929829747
x35 = 89.5353906273091
x36 = 82.3097275240526
x37 = 21.991148584984
x38 = -99.9026463841554
x39 = 72.2566310277498
x40 = 11.9380520836412
x41 = -79.7964534011807
x42 = 18.2212373908208
x43 = -3.76991118430775
x44 = -86.0796387083603
x45 = -89.8495498926681
x46 = -45.867252742411
x47 = 33.9292006587698
x48 = -57.8053048260522
x49 = -33.9292006587698
x50 = 96.1327351998477
x51 = 40.2123859659494
x52 = 15.7079634447288
x53 = -81.6814090326295
x54 = 99.2743278534375
x55 = -98.0176907920015
x56 = -67.8584013175395
x57 = 67.8584013175395
x58 = -60.946897479642
x59 = 94.2477796093556
x60 = 70.3716754404114
x61 = 80.1106126665397
x62 = 8.16814089933346
x63 = 65.9734457510252
x64 = -35.8141562509236
x65 = 32.0442450666159
x66 = 45.867252742411
x67 = -38.9557489045134
x68 = -95.8185759344887
x69 = -69.7433569096934
x70 = -65.9734457669786
x71 = -21.9911485866689
x72 = 84.1946831162065
x73 = -4.71238898038469
x74 = 50.2654824465309
x75 = -55.9203492338983
x76 = -11.9380520836412
x77 = 60.318578948924
x78 = 92.3628240155399
x79 = 74.1415866247191
x80 = -83.2522053201295
x81 = -17.2787595947439
x82 = 54.0353936417444
x83 = 86.0796387083603
x84 = -43.9822971754549
x85 = -51.8362787842316
x86 = 98.0176907920015
x87 = 48.3805268652828
x88 = -47.7522083345649
x89 = 4.71238898038469
x90 = 78.5398163772734
x91 = 36.1283155162826
x92 = -64.0884901332318
x93 = 14.1371669411541
x94 = 42.0973415581032
x95 = 43.9822971685871
x96 = -76.026542216873
x97 = 1.88495559215388
x98 = -91.734505484822
x99 = 52.1504380495906
x99 = 52.1504380495906
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