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-4*sin(2*x+pi/2)+2*cos(4*x)+3=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
       /      pi\                     
- 4*sin|2*x + --| + 2*cos(4*x) + 3 = 0
       \      2 /                     
$$\left(- 4 \sin{\left(2 x + \frac{\pi}{2} \right)} + 2 \cos{\left(4 x \right)}\right) + 3 = 0$$
Gráfica
Respuesta rápida [src]
     -5*pi
x1 = -----
       6  
$$x_{1} = - \frac{5 \pi}{6}$$
     -pi 
x2 = ----
      6  
$$x_{2} = - \frac{\pi}{6}$$
     pi
x3 = --
     6 
$$x_{3} = \frac{\pi}{6}$$
     5*pi
x4 = ----
      6  
$$x_{4} = \frac{5 \pi}{6}$$
x4 = 5*pi/6
Suma y producto de raíces [src]
suma
  5*pi   pi   pi   5*pi
- ---- - -- + -- + ----
   6     6    6     6  
$$\left(\left(- \frac{5 \pi}{6} - \frac{\pi}{6}\right) + \frac{\pi}{6}\right) + \frac{5 \pi}{6}$$
=
0
$$0$$
producto
-5*pi -pi  pi 5*pi
-----*----*--*----
  6    6   6   6  
$$\frac{5 \pi}{6} \frac{\pi}{6} \cdot - \frac{5 \pi}{6} \left(- \frac{\pi}{6}\right)$$
=
     4
25*pi 
------
 1296 
$$\frac{25 \pi^{4}}{1296}$$
25*pi^4/1296
Respuesta numérica [src]
x1 = 88.4881930588162
x2 = -2.61799368636057
x3 = -68.5914393855496
x4 = -63.3554520783536
x5 = -100.007366130679
x6 = -56.0250689614996
x7 = 5.75958654548638
x8 = 8.90117904331105
x9 = -12.0427717941218
x10 = 22.5147473999586
x11 = -47.6474886513095
x12 = -93.7241808491313
x13 = 52.8834761646582
x14 = 75.9218225371198
x15 = 3.66519165966428
x16 = -12.0427716933417
x17 = -79.063415173263
x18 = 31.9395253719772
x19 = 30.8923276030784
x20 = 74.8746247278578
x21 = -31.9395255524845
x22 = -27.7507351061619
x23 = -85.3466006562313
x24 = -62.3082540766567
x25 = 69.6386373944711
x26 = 91.6297857458449
x27 = 40.3171056733063
x28 = -9.94837688853742
x29 = 56.0250689472848
x30 = -16.2315620175123
x31 = 100.007366129649
x32 = -34.0339203776242
x33 = -82.205007721733
x34 = 66.4970444989571
x35 = 41.3643034402547
x36 = 97.9129711193991
x37 = 18.3259570920958
x38 = 71.7330321983665
x39 = 90.5825879716999
x40 = 27.7507351040753
x41 = 19.3731548776645
x42 = -18.3259569189483
x43 = 96.8657732925043
x44 = 0.523598869089564
x45 = -5.75958652411199
x46 = 46.6002908137472
x47 = 85.3466005603873
x48 = -46.600290818098
x49 = 93.7241807251843
x50 = -84.2994026557427
x51 = 38.222710642089
x52 = 34.0339203481002
x53 = -13.0899695144326
x54 = 44.50589594499
x55 = 16.2315620585995
x56 = -35.081118069927
x57 = 68.5914393926515
x58 = -3.66519148907634
x59 = 2.61799365639909
x60 = -71.733032268611
x61 = -53.930674002491
x62 = -24.6091422516612
x63 = -40.3171054977237
x64 = -21.467549638373
x65 = -90.5825879539107
x66 = -22.5147476521518
x67 = 60.2138592265113
x68 = 78.0162175404298
x69 = 24.6091422349939
x70 = 49.7418836561577
x71 = -25.6563400702113
x72 = 82.2050078120753
x73 = -38.2227105835825
x74 = 25.6563402381088
x75 = -69.6386372323708
x76 = 91.6297859723768
x77 = -57.0722666229422
x78 = 62.3082542545571
x79 = -60.2138591518502
x80 = -43.4586981070444
x81 = 47.6474888163797
x82 = 63.3554520012296
x83 = -78.0162175458201
x84 = -49.7418836876388
x85 = -78.0162177479722
x86 = -91.6297858133946
x87 = -79.0634152776635
x88 = -41.3643035002832
x89 = 9.94837678906389
x90 = -19.3731549220294
x91 = 12.0427717389019
x92 = 53.9306739546532
x93 = 84.2994028358511
x93 = 84.2994028358511