Найду корень уравнения: cos(2*x)+8*sin(x)=3
a*w^2 + b*w + c = 0
D = b^2 - 4 * a * c =
(8)^2 - 4 * (-2) * (-2) = 48
w1 = (-b + sqrt(D)) / (2*a)
w2 = (-b - sqrt(D)) / (2*a)
/ ______________\ | / ___\ ___ / ___ | x1 = -I*log\I*\2 - \/ 3 / - \/ 2 *\/ -3 + 2*\/ 3 /
/ ______________\ | / ___\ ___ / ___ | x2 = -I*log\I*\2 - \/ 3 / + \/ 2 *\/ -3 + 2*\/ 3 /
/ _____________\ pi | ___ ___ / ___ | x3 = -- - I*log\2 + \/ 3 + \/ 2 *\/ 3 + 2*\/ 3 / 2
/ _____________\ pi | ___ ___ / ___ | x4 = -- - I*log\2 + \/ 3 - \/ 2 *\/ 3 + 2*\/ 3 / 2
сумма
/ ______________\ / ______________\ / _____________\ / _____________\ | / ___\ ___ / ___ | | / ___\ ___ / ___ | pi | ___ ___ / ___ | pi | ___ ___ / ___ | - I*log\I*\2 - \/ 3 / - \/ 2 *\/ -3 + 2*\/ 3 / - I*log\I*\2 - \/ 3 / + \/ 2 *\/ -3 + 2*\/ 3 / + -- - I*log\2 + \/ 3 + \/ 2 *\/ 3 + 2*\/ 3 / + -- - I*log\2 + \/ 3 - \/ 2 *\/ 3 + 2*\/ 3 / 2 2
=
/ ______________\ / ______________\ / _____________\ / _____________\ | / ___\ ___ / ___ | | / ___\ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | pi - I*log\I*\2 - \/ 3 / + \/ 2 *\/ -3 + 2*\/ 3 / - I*log\I*\2 - \/ 3 / - \/ 2 *\/ -3 + 2*\/ 3 / - I*log\2 + \/ 3 + \/ 2 *\/ 3 + 2*\/ 3 / - I*log\2 + \/ 3 - \/ 2 *\/ 3 + 2*\/ 3 /
произведение
/ ______________\ / / ______________\\ / / _____________\\ / / _____________\\ | / ___\ ___ / ___ | | | / ___\ ___ / ___ || |pi | ___ ___ / ___ || |pi | ___ ___ / ___ || -I*log\I*\2 - \/ 3 / - \/ 2 *\/ -3 + 2*\/ 3 /*\-I*log\I*\2 - \/ 3 / + \/ 2 *\/ -3 + 2*\/ 3 //*|-- - I*log\2 + \/ 3 + \/ 2 *\/ 3 + 2*\/ 3 /|*|-- - I*log\2 + \/ 3 - \/ 2 *\/ 3 + 2*\/ 3 /| \2 / \2 /
=
/ / _____________\\ / / _____________\\ / ______________\ / ______________\ | | ___ ___ / ___ || | | ___ ___ / ___ || | / ___\ ___ / ___ | | / ___\ ___ / ___ | -\pi - 2*I*log\2 + \/ 3 + \/ 2 *\/ 3 + 2*\/ 3 //*\pi - 2*I*log\2 + \/ 3 - \/ 2 *\/ 3 + 2*\/ 3 //*log\I*\2 - \/ 3 / + \/ 2 *\/ -3 + 2*\/ 3 /*log\I*\2 - \/ 3 / - \/ 2 *\/ -3 + 2*\/ 3 / ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 4
x1 = 81.9526727470606
x2 = -97.6606360150096
x3 = -53.6783388647525
x4 = -3.41285640731581
x5 = -6581.90787302434
x6 = 6.55444906090561
x7 = -9.6960417144954
x8 = 75.6694874398811
x9 = -31.1446627821719
x10 = -100.259701161147
x11 = 50.5367462111627
x12 = 53.1358113573005
x13 = 40.5694407429413
x14 = 88.2358580542402
x15 = 56.8199315183423
x16 = 21.7198848214025
x17 = -15.979227021675
x18 = 59.41899666448
x19 = 9.15351420704336
x20 = 100.802228668599
x21 = -43.7110333965311
x22 = -72.5278947862913
x23 = -56.2774040108903
x24 = 65.7021819716596
x25 = -41.1119682503933
x26 = -81.4101452396086
x27 = -18.5782921678127
x28 = -91.37745070783
x29 = 19.1208196752648
x30 = -47.3951535575729
x31 = 90.834923200378
x32 = -62.5605893180698
x33 = 94.5190433614198
x34 = 31.687190289624
x35 = 84.5517378931984
x36 = -34.8287829432137
x37 = 71.9853672788392
x38 = 78.2685525860188
x39 = -85.0942654006504
x40 = -213.35703669038
x41 = -66.2447094791117
x42 = 15.4366995142229
x43 = -22.2624123288546
x44 = 28.0030701285821
x45 = -68.8437746252494
x46 = -49.9942187037107
x47 = 12.8376343680852
x48 = 63.1031168255219
x49 = -78.8110800934708
x50 = 97.1181085075576
x51 = 44.2535609039831
x52 = 398.711003252178
x53 = 2.87032889986377
x54 = -59.9615241719321
x55 = 2758.58961360556
x56 = 0.271263753726021
x57 = -24.8614774749923
x58 = -87.6933305467882
x59 = 25.4040049824444
x60 = -28.5455976360342
x61 = 69.3863021327015
x62 = 46.8526260501209
x63 = 128.534035043456
x64 = -93.9765158539678
x65 = -6.01192155345357
x66 = -75.126959932429
x67 = -12.2951068606332
x68 = -37.4278480893515
x69 = 34.2862554357617
x70 = 37.9703755968035