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cos(8*x)+7*sin(4*x)-6=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(8*x) + 7*sin(4*x) - 6 = 0
$$\left(7 \sin{\left(4 x \right)} + \cos{\left(8 x \right)}\right) - 6 = 0$$
Gráfica
Respuesta rápida [src]
     -7*pi
x1 = -----
       8  
$$x_{1} = - \frac{7 \pi}{8}$$
     -3*pi
x2 = -----
       8  
$$x_{2} = - \frac{3 \pi}{8}$$
     pi
x3 = --
     8 
$$x_{3} = \frac{\pi}{8}$$
     5*pi
x4 = ----
      8  
$$x_{4} = \frac{5 \pi}{8}$$
x4 = 5*pi/8
Suma y producto de raíces [src]
suma
  7*pi   3*pi   pi   5*pi
- ---- - ---- + -- + ----
   8      8     8     8  
$$\left(\left(- \frac{7 \pi}{8} - \frac{3 \pi}{8}\right) + \frac{\pi}{8}\right) + \frac{5 \pi}{8}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
producto
-7*pi -3*pi pi 5*pi
-----*-----*--*----
  8     8   8   8  
$$\frac{5 \pi}{8} \frac{\pi}{8} \cdot - \frac{7 \pi}{8} \left(- \frac{3 \pi}{8}\right)$$
=
      4
105*pi 
-------
  4096 
$$\frac{105 \pi^{4}}{4096}$$
105*pi^4/4096
Respuesta numérica [src]
x1 = 91.4988861866118
x2 = 53.7997743639533
x3 = 96.2112750484863
x4 = -65.5807467603561
x5 = -37.3064129893602
x6 = 30.2378293000995
x7 = 86.7864970251468
x8 = 23.9546440296751
x9 = -73.4347284917209
x10 = 25.5254405111216
x11 = 1.96349544645012
x12 = 66.3661447276565
x13 = -24.7400421532996
x14 = -92.2842839728072
x15 = -29.4524313315789
x16 = 78.9325154139462
x17 = 47.5165890723236
x18 = 80.5033115722343
x19 = 36.52101441024
x20 = 64.7953484976729
x21 = 58.5121629911738
x22 = -78.1471171277149
x23 = -95.4258770713849
x24 = -35.7356164449945
x25 = 74.22012646514
x26 = 97.7820715271107
x27 = -21.5984495975409
x28 = 44.3749961464193
x29 = -56.1559685456063
x30 = -7.4612827511602
x31 = 45.9457926126636
x32 = -18.4568566175852
x33 = -64.0099503055048
x34 = -71.8639317638772
x35 = -57.7267650263173
x36 = -93.8550803685093
x37 = 67.9369411954703
x38 = 3.53429194771804
x39 = -40.4480051845367
x40 = -42.018801721025
x41 = 60.0829595420185
x42 = 31.8086257822062
x43 = -34.1648199635513
x44 = -20.0276531370841
x45 = 8.24668071815618
x46 = 14.5298658294543
x47 = -81.2887101256217
x48 = -43.5895981789343
x49 = 22.3838475651395
x50 = -59.2975615583276
x51 = -86.0010988907076
x52 = -87.5718953417992
x53 = 20.813051506572
x54 = -100.138265709871
x55 = 0.392698983818484
x56 = -70.2931353930596
x57 = 88.3572933088515
x58 = -13.7444678635204
x59 = 89.9280897781369
x60 = 75.790922945593
x61 = -12.1736713815576
x62 = -51.4435799117753
x63 = 69.5077376309631
x64 = 9.81747720036516
x65 = 42.8041999860779
x66 = -79.7179136075301
x67 = 52.2289778823918
x67 = 52.2289778823918