El profesor se sorprenderá mucho al ver tu solución correcta😉
cos(2*x) + sin(x) + 1 = 0
a*w^2 + b*w + c = 0
D = b^2 - 4 * a * c =
(1)^2 - 4 * (-2) * (2) = 17
w1 = (-b + sqrt(D)) / (2*a)
w2 = (-b - sqrt(D)) / (2*a)
/ _____________ \ | ___ / ____ / ____\| | \/ 2 *\/ -1 + \/ 17 I*\1 - \/ 17 /| x1 = -I*log|- ---------------------- + --------------| \ 4 4 /
/ _____________\ | / ____\ ___ / ____ | |I*\1 - \/ 17 / \/ 2 *\/ -1 + \/ 17 | x2 = -I*log|-------------- + ----------------------| \ 4 4 /
/ 2\ |/ ____________\ | || ____ ___ / ____ | | |\1 + \/ 17 + \/ 2 *\/ 1 + \/ 17 / | I*log|-------------------------------------| pi \ 16 / x3 = -- - -------------------------------------------- 2 2
/ 2\ |/ ____________\ | || ____ ___ / ____ | | |\1 + \/ 17 - \/ 2 *\/ 1 + \/ 17 / | I*log|-------------------------------------| pi \ 16 / x4 = -- - -------------------------------------------- 2 2
x4 = pi/2 - i*log((-sqrt(2)*sqrt(1 + sqrt(17)) + 1 + sqrt(17))^2/16)/2
suma
/ 2\ / 2\ |/ ____________\ | |/ ____________\ | || ____ ___ / ____ | | || ____ ___ / ____ | | / _____________ \ / _____________\ |\1 + \/ 17 + \/ 2 *\/ 1 + \/ 17 / | |\1 + \/ 17 - \/ 2 *\/ 1 + \/ 17 / | | ___ / ____ / ____\| | / ____\ ___ / ____ | I*log|-------------------------------------| I*log|-------------------------------------| | \/ 2 *\/ -1 + \/ 17 I*\1 - \/ 17 /| |I*\1 - \/ 17 / \/ 2 *\/ -1 + \/ 17 | pi \ 16 / pi \ 16 / - I*log|- ---------------------- + --------------| - I*log|-------------- + ----------------------| + -- - -------------------------------------------- + -- - -------------------------------------------- \ 4 4 / \ 4 4 / 2 2 2 2
=
/ 2\ / 2\ |/ ____________\ | |/ ____________\ | || ____ ___ / ____ | | || ____ ___ / ____ | | / _____________ \ / _____________\ |\1 + \/ 17 + \/ 2 *\/ 1 + \/ 17 / | |\1 + \/ 17 - \/ 2 *\/ 1 + \/ 17 / | | ___ / ____ / ____\| | / ____\ ___ / ____ | I*log|-------------------------------------| I*log|-------------------------------------| | \/ 2 *\/ -1 + \/ 17 I*\1 - \/ 17 /| |I*\1 - \/ 17 / \/ 2 *\/ -1 + \/ 17 | \ 16 / \ 16 / pi - I*log|- ---------------------- + --------------| - I*log|-------------- + ----------------------| - -------------------------------------------- - -------------------------------------------- \ 4 4 / \ 4 4 / 2 2
producto
/ / 2\\ / / 2\\ | |/ ____________\ || | |/ ____________\ || | || ____ ___ / ____ | || | || ____ ___ / ____ | || / _____________ \ / / _____________\\ | |\1 + \/ 17 + \/ 2 *\/ 1 + \/ 17 / || | |\1 + \/ 17 - \/ 2 *\/ 1 + \/ 17 / || | ___ / ____ / ____\| | | / ____\ ___ / ____ || | I*log|-------------------------------------|| | I*log|-------------------------------------|| | \/ 2 *\/ -1 + \/ 17 I*\1 - \/ 17 /| | |I*\1 - \/ 17 / \/ 2 *\/ -1 + \/ 17 || |pi \ 16 /| |pi \ 16 /| -I*log|- ---------------------- + --------------|*|-I*log|-------------- + ----------------------||*|-- - --------------------------------------------|*|-- - --------------------------------------------| \ 4 4 / \ \ 4 4 // \2 2 / \2 2 /
=
/ / 2\\ / / 2\\ | |/ ____________\ || | |/ ____________\ || / _____________ \ / _____________\ | || ____ ___ / ____ | || | || ____ ___ / ____ | || | ___ / ____ / ____\| | / ____\ ___ / ____ | | |\1 + \/ 17 + \/ 2 *\/ 1 + \/ 17 / || | |\1 + \/ 17 - \/ 2 *\/ 1 + \/ 17 / || | \/ 2 *\/ -1 + \/ 17 I*\1 - \/ 17 /| |I*\1 - \/ 17 / \/ 2 *\/ -1 + \/ 17 | -|pi - I*log|-------------------------------------||*|pi - I*log|-------------------------------------||*log|- ---------------------- + --------------|*log|-------------- + ----------------------| \ \ 16 // \ \ 16 // \ 4 4 / \ 4 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 4
-(pi - i*log((1 + sqrt(17) + sqrt(2)*sqrt(1 + sqrt(17)))^2/16))*(pi - i*log((1 + sqrt(17) - sqrt(2)*sqrt(1 + sqrt(17)))^2/16))*log(-sqrt(2)*sqrt(-1 + sqrt(17))/4 + i*(1 - sqrt(17))/4)*log(i*(1 - sqrt(17))/4 + sqrt(2)*sqrt(-1 + sqrt(17))/4)/4
x1 = 330.763136108137
x2 = 66.8693532065946
x3 = -26.0286487099272
x4 = 61.935945590587
x5 = -33.6616117082788
x6 = -76.2941311673639
x7 = -2.2456851723809
x8 = -90.2102794728951
x9 = -21.0952410939197
x10 = -58.7943529369972
x11 = 68.2191308977666
x12 = 105.918242740844
x13 = 22.8870560563374
x14 = 99.6350574336645
x15 = 93.3518721264849
x16 = -46.227982322638
x17 = 55.6527602834074
x18 = 48.0197972850558
x19 = 60.586167899415
x20 = -77.6439088585359
x21 = 54.3029825922354
x22 = 4.03750013479868
x23 = -39.9447970154584
x24 = -65.0775382441768
x25 = -259.856282766744
x26 = -70.0109458601843
x27 = -82.5773164745435
x28 = -38.5950193242864
x29 = 98.2852797424925
x30 = -13.4622780955681
x31 = 24.2368337475095
x32 = -57.4445752458252
x33 = 49.3695749762278
x34 = 17.9536484403299
x35 = 74.5023162049461
x36 = -101.426872396082
x37 = 30.520019054689
x38 = 41.7366119778762
x39 = -88.8605017817231
x40 = -1918.61720386215
x41 = -63.7277605530048
x42 = 16.6038707491579
x43 = 274.214468343521
x44 = 5.3872778259707
x45 = -83.9270941657155
x46 = 85.7189091281333
x47 = -27.3784264010992
x48 = 10.3206854419783
x49 = 11.6704631331503
x50 = 92.0020944353129
x51 = -3545.96219842167
x52 = -109.059835394434
x53 = 80.7855015121257
x54 = -214.524207925315
x55 = -19.7454634027476
x56 = -32.3118340171068
x57 = -71.3607235513564
x57 = -71.3607235513564