El profesor se sorprenderá mucho al ver tu solución correcta😉
cos(2*x) - 5*sin(x) - 3 = 0
a*w^2 + b*w + c = 0
D = b^2 - 4 * a * c =
(-5)^2 - 4 * (-2) * (-2) = 9
w1 = (-b + sqrt(D)) / (2*a)
w2 = (-b - sqrt(D)) / (2*a)
suma
5*pi pi pi / ___\ pi / ___\ - ---- - -- + - -- - I*log\2 - \/ 3 / + - -- - I*log\2 + \/ 3 / 6 6 2 2
=
/ ___\ / ___\ -2*pi - I*log\2 + \/ 3 / - I*log\2 - \/ 3 /
producto
-5*pi -pi / pi / ___\\ / pi / ___\\ -----*----*|- -- - I*log\2 - \/ 3 /|*|- -- - I*log\2 + \/ 3 /| 6 6 \ 2 / \ 2 /
=
2 / / ___\\ / / ___\\ 5*pi *\pi + 2*I*log\2 + \/ 3 //*\pi + 2*I*log\2 - \/ 3 // --------------------------------------------------------- 144
5*pi^2*(pi + 2*i*log(2 + sqrt(3)))*(pi + 2*i*log(2 - sqrt(3)))/144
-5*pi x1 = ----- 6
-pi x2 = ---- 6
pi / ___\ x3 = - -- - I*log\2 - \/ 3 / 2
pi / ___\ x4 = - -- - I*log\2 + \/ 3 / 2
x4 = -pi/2 - i*log(sqrt(3) + 2)
x1 = -8.90117918517108
x2 = -773.355391558687
x3 = -15.1843644923507
x4 = 18.3259571459405
x5 = 66.497044500984
x6 = 93.7241808320955
x7 = -57.0722665402146
x8 = -25.6563400043166
x9 = 56.025068989018
x10 = 47.6474885794452
x11 = -101.054563690472
x12 = -78.0162175641465
x13 = -52.8834763354282
x14 = 5.75958653158129
x15 = -82.2050077689329
x16 = 28.7979326579064
x17 = 81.1578102177363
x18 = 97.9129710368819
x19 = 62766.4032248461
x20 = -0.523598775598299
x21 = 68.5914396033772
x22 = -90.5825881785057
x23 = 43.4586983746588
x24 = 100.007366139275
x25 = -46.6002910282486
x26 = 30.8923277602996
x27 = 37.1755130674792
x28 = -63.3554518473942
x29 = -27.7507351067098
x30 = -34.0339204138894
x31 = -44.5058959258554
x32 = 79.0634151153431
x33 = 91.6297857297023
x34 = -65.4498469497874
x35 = 72.7802298081635
x36 = 60.2138591938044
x37 = -71.733032256967
x38 = -31.9395253114962
x39 = 53.9306738866248
x40 = 3.66519142918809
x41 = 22.5147473507269
x42 = 1455.08099738767
x43 = -84.2994028713261
x44 = -88.4881930761125
x45 = -40.317105721069
x46 = -69.6386371545737
x47 = -50.789081233035
x48 = -6.80678408277789
x49 = -19.3731546971371
x50 = 87.4409955249159
x51 = 16.2315620435473
x52 = -38.2227106186758
x53 = 62.3082542961976
x54 = -94.7713783832921
x55 = 238.237442897226
x56 = 49.7418836818384
x57 = 74.8746249105567
x58 = -96.8657734856853
x59 = 85.3466004225227
x60 = 12.0427718387609
x61 = -21.4675497995303
x62 = 231545.326946304
x63 = -59.1666616426078
x64 = -13.0899693899575
x65 = 198.443935951755
x66 = 41.3643032722656
x67 = 24.60914245312
x68 = 35.081117965086
x69 = -75.9218224617533
x70 = 9.94837673636768
x71 = -2.61799387799149
x71 = -2.61799387799149