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absolutesinx=sinx+2cos(2x) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
|sin(x)| = sin(x) + 2*cos(2*x)
$$\left|{\sin{\left(x \right)}}\right| = \sin{\left(x \right)} + 2 \cos{\left(2 x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
  5*pi   pi   pi   3*pi
- ---- - -- + -- + ----
   6     6    4     4  
$$\left(\left(- \frac{5 \pi}{6} - \frac{\pi}{6}\right) + \frac{\pi}{4}\right) + \frac{3 \pi}{4}$$
=
0
$$0$$
producto
-5*pi -pi  pi 3*pi
-----*----*--*----
  6    6   4   4  
$$\frac{3 \pi}{4} \frac{\pi}{4} \cdot - \frac{5 \pi}{6} \left(- \frac{\pi}{6}\right)$$
=
    4
5*pi 
-----
 192 
$$\frac{5 \pi^{4}}{192}$$
5*pi^4/192
Respuesta rápida [src]
     -5*pi
x1 = -----
       6  
$$x_{1} = - \frac{5 \pi}{6}$$
     -pi 
x2 = ----
      6  
$$x_{2} = - \frac{\pi}{6}$$
     pi
x3 = --
     4 
$$x_{3} = \frac{\pi}{4}$$
     3*pi
x4 = ----
      4  
$$x_{4} = \frac{3 \pi}{4}$$
x4 = 3*pi/4
Respuesta numérica [src]
x1 = 62.3082542961976
x2 = 52.621676947629
x3 = -36.9137136796801
x4 = 33.7721210260903
x5 = 38.484510006475
x6 = -69.6386371545737
x7 = -34.0339204138894
x8 = -31.9395253114962
x9 = 32.2013246992954
x10 = 46.3384916404494
x11 = 93.7241808320955
x12 = 68.5914396033772
x13 = 18.3259571459405
x14 = -98.174770424681
x15 = -27.7507351067098
x16 = -91.8915851175014
x17 = 49.7418836818384
x18 = 47.6474885794452
x19 = 19.6349540849362
x20 = 100.007366139275
x21 = 139.015474921348
x22 = 69.9004365423729
x23 = 24.60914245312
x24 = -90.5825881785057
x25 = 30.8923277602996
x26 = 107.59954838545
x27 = -65.4498469497874
x28 = -71.733032256967
x29 = -24.3473430653209
x30 = -85.6083998103219
x31 = 22.5147473507269
x32 = -47.9092879672443
x33 = -78.0162175641465
x34 = 25.9181393921158
x35 = 40.0553063332699
x36 = -19.3731546971371
x37 = 44.7676953136546
x38 = 8.63937979737193
x39 = 27.4889357189107
x40 = -79.3252145031423
x41 = 53.9306738866248
x42 = 16.2315620435473
x43 = -16.4933614313464
x44 = -62.0464549083984
x45 = -75.9218224617533
x46 = -82.2050077689329
x47 = -49.4800842940392
x48 = -5.49778714378214
x49 = 60.2138591938044
x50 = 66.497044500984
x51 = 76.1836218495525
x52 = 90.3207887907066
x53 = -57.0722665402146
x54 = -35.3429173528852
x55 = -3.92699081698724
x56 = -55.7632696012188
x57 = -93.4623814442964
x58 = -21.4675497995303
x59 = 1450.89220718289
x60 = -68.329640215578
x61 = 77.7544181763474
x62 = -38.2227106186758
x63 = -99.7455667514759
x64 = 97.9129710368819
x65 = 12.0427718387609
x66 = -63.3554518473942
x67 = -54.1924732744239
x68 = -41.6261026600648
x69 = 2.35619449019234
x70 = -25.6563400043166
x71 = -18.0641577581413
x72 = 41.3643032722656
x73 = 5.75958653158129
x74 = -11.7809724509617
x75 = 88.7499924639117
x76 = -84.2994028713261
x77 = 3.66519142918809
x78 = -10.2101761241668
x79 = 9.94837673636768
x80 = 82.4668071567321
x81 = 74.8746249105567
x82 = 63.6172512351933
x83 = 91.6297857297023
x84 = -46.6002910282486
x85 = -13.0899693899575
x86 = -40.317105721069
x87 = 56.025068989018
x88 = 96.6039740978861
x89 = -2.61799387799149
x90 = 85.3466004225227
x91 = -106.028752058656
x92 = 84.037603483527
x93 = -60.4756585816035
x93 = -60.4756585816035