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2cos(4x-pi/4)cos(-x+pi/4)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     /      pi\    /     pi\    
2*cos|4*x - --|*cos|-x + --| = 0
     \      4 /    \     4 /    
$$\cos{\left(- x + \frac{\pi}{4} \right)} 2 \cos{\left(4 x - \frac{\pi}{4} \right)} = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
     -pi 
x2 = ----
      16 
$$x_{2} = - \frac{\pi}{16}$$
x2 = -pi/16
Suma y producto de raíces [src]
suma
  pi   pi
- -- - --
  4    16
$$- \frac{\pi}{4} - \frac{\pi}{16}$$
=
-5*pi
-----
  16 
$$- \frac{5 \pi}{16}$$
producto
-pi  -pi 
----*----
 4    16 
$$- \frac{\pi}{4} \left(- \frac{\pi}{16}\right)$$
=
  2
pi 
---
 64
$$\frac{\pi^{2}}{64}$$
pi^2/64
Respuesta numérica [src]
x1 = 20.2240027074843
x2 = 55.7632696012188
x3 = -47.9092879672443
x4 = -33.9684705669396
x5 = 71.4712328691678
x6 = -44.1786466911065
x7 = -104.457955731861
x8 = 21.7947990342792
x9 = 60.2793090407542
x10 = -30.0414797499524
x11 = -88.1609438413636
x12 = -1.76714586764426
x13 = -37.8954613839269
x14 = -55.9596191420682
x15 = -19.8313036257856
x16 = -51.0508806208341
x17 = 18.0641577581413
x18 = -79.5215640439916
x19 = -15.9043128087983
x20 = -91.8915851175014
x21 = -96.0149254753381
x22 = -10.4065256650162
x23 = 97.9784208838317
x24 = -3.92699081698724
x25 = 10.0138265833175
x26 = -66.169795266235
x27 = 94.0514300668444
x28 = -116.435277723672
x29 = 40.0553063332699
x30 = -25.9181393921158
x31 = 49.4800842940392
x32 = 30.4341788316511
x33 = -81.877758534184
x34 = -63.8136007760427
x35 = 32.004975158446
x36 = -23.7582944427728
x37 = -93.6587309851457
x38 = 6.08683576633022
x39 = 84.037603483527
x40 = 52.4253274067797
x41 = -89.7317401681585
x42 = 50.0691329165873
x43 = -52.0326283250809
x44 = -11.9773219918111
x45 = 64.2062998577414
x46 = 93.266031903447
x47 = 24.1509935244715
x48 = 43.7859476094077
x49 = -41.8224522009141
x50 = 96.4076245570368
x51 = 86.9828465962674
x52 = -35.5392668937345
x53 = -85.8047493511712
x54 = -13.548118318606
x55 = -49.6764338348886
x56 = 13.9408174003047
x57 = 82.2704576158827
x58 = 62.0464549083984
x59 = 79.9142631256904
x60 = -99.9419162923253
x61 = -74.809175063607
x62 = 28.0779843414588
x63 = 74.4164759819082
x64 = -69.9004365423729
x65 = 68.329640215578
x66 = 100.334615374024
x67 = 37.5027623022282
x68 = -27.6852852597601
x69 = 46.1421420996001
x70 = -77.9507677171967
x71 = 35.9319659754333
x72 = -5.6941366846315
x73 = -22.1874981159779
x74 = 8.44303025652257
x75 = -965.450692356313
x76 = 42.2151512826128
x77 = 2.15984494934298
x78 = 57.9231145505618
x79 = 36.9137136796801
x80 = -67.7405915930299
x81 = -57.5304154688631
x82 = -74.0237769002095
x83 = -8.05033117482385
x84 = 72.0602814917159
x85 = 75.9872723087031
x86 = 66.5624943479338
x87 = -45.7494430179014
x88 = -59.8866099590554
x89 = 16.2970118904971
x90 = 78.3434667988955
x91 = -0.196349540849362
x92 = 1857.27030689412
x93 = 90.9098374132546
x94 = -32.2013246992954
x95 = 38.2881604656256
x96 = 86.1974484328699
x97 = -71.6675824100172
x98 = 53.9961237335746
x98 = 53.9961237335746