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a*w^2 + b*w + c = 0
D = b^2 - 4 * a * c =
(1)^2 - 4 * (-4) * (-1) = -15
w1 = (-b + sqrt(D)) / (2*a)
w2 = (-b - sqrt(D)) / (2*a)
/ _____________\ | ____ ___ / ____ | |1 \/ 33 I*\/ 2 *\/ 15 - \/ 33 | t1 = -I*log|- + ------ - ------------------------| \8 8 8 /
/ _____________\ | ____ ___ / ____ | |1 \/ 33 I*\/ 2 *\/ 15 - \/ 33 | t2 = -I*log|- + ------ + ------------------------| \8 8 8 /
/ _____________\ | ____ ___ / ____ | |1 \/ 33 I*\/ 2 *\/ 15 + \/ 33 | t3 = -I*log|- - ------ - ------------------------| \8 8 8 /
/ _____________\ | ____ ___ / ____ | |1 \/ 33 I*\/ 2 *\/ 15 + \/ 33 | t4 = -I*log|- - ------ + ------------------------| \8 8 8 /
t4 = -i*log(-sqrt(33)/8 + 1/8 + sqrt(2)*i*sqrt(sqrt(33) + 15)/8)
suma
/ _____________\ / _____________\ / _____________\ / _____________\ | ____ ___ / ____ | | ____ ___ / ____ | | ____ ___ / ____ | | ____ ___ / ____ | |1 \/ 33 I*\/ 2 *\/ 15 - \/ 33 | |1 \/ 33 I*\/ 2 *\/ 15 - \/ 33 | |1 \/ 33 I*\/ 2 *\/ 15 + \/ 33 | |1 \/ 33 I*\/ 2 *\/ 15 + \/ 33 | - I*log|- + ------ - ------------------------| - I*log|- + ------ + ------------------------| - I*log|- - ------ - ------------------------| - I*log|- - ------ + ------------------------| \8 8 8 / \8 8 8 / \8 8 8 / \8 8 8 /
=
/ _____________\ / _____________\ / _____________\ / _____________\ | ____ ___ / ____ | | ____ ___ / ____ | | ____ ___ / ____ | | ____ ___ / ____ | |1 \/ 33 I*\/ 2 *\/ 15 + \/ 33 | |1 \/ 33 I*\/ 2 *\/ 15 + \/ 33 | |1 \/ 33 I*\/ 2 *\/ 15 - \/ 33 | |1 \/ 33 I*\/ 2 *\/ 15 - \/ 33 | - I*log|- - ------ - ------------------------| - I*log|- - ------ + ------------------------| - I*log|- + ------ - ------------------------| - I*log|- + ------ + ------------------------| \8 8 8 / \8 8 8 / \8 8 8 / \8 8 8 /
producto
/ _____________\ / / _____________\\ / / _____________\\ / / _____________\\ | ____ ___ / ____ | | | ____ ___ / ____ || | | ____ ___ / ____ || | | ____ ___ / ____ || |1 \/ 33 I*\/ 2 *\/ 15 - \/ 33 | | |1 \/ 33 I*\/ 2 *\/ 15 - \/ 33 || | |1 \/ 33 I*\/ 2 *\/ 15 + \/ 33 || | |1 \/ 33 I*\/ 2 *\/ 15 + \/ 33 || -I*log|- + ------ - ------------------------|*|-I*log|- + ------ + ------------------------||*|-I*log|- - ------ - ------------------------||*|-I*log|- - ------ + ------------------------|| \8 8 8 / \ \8 8 8 // \ \8 8 8 // \ \8 8 8 //
=
/ ______________\ / _____________\ / ______________\ / ______________\ | ____ ___ / ____ | | ____ ___ / ____ | | ____ ___ / ____ | | ____ ___ / ____ | |1 \/ 33 \/ 2 *\/ -15 - \/ 33 | |1 \/ 33 I*\/ 2 *\/ 15 + \/ 33 | |1 \/ 33 \/ 2 *\/ -15 + \/ 33 | |1 \/ 33 \/ 2 *\/ -15 + \/ 33 | log|- - ------ + -----------------------|*log|- - ------ - ------------------------|*log|- + ------ - -----------------------|*log|- + ------ + -----------------------| \8 8 8 / \8 8 8 / \8 8 8 / \8 8 8 /
log(1/8 - sqrt(33)/8 + sqrt(2)*sqrt(-15 - sqrt(33))/8)*log(1/8 - sqrt(33)/8 - i*sqrt(2)*sqrt(15 + sqrt(33))/8)*log(1/8 + sqrt(33)/8 - sqrt(2)*sqrt(-15 + sqrt(33))/8)*log(1/8 + sqrt(33)/8 + sqrt(2)*sqrt(-15 + sqrt(33))/8)
t1 = -46.1879603481856
t2 = 68.5472090060468
t3 = -77.6038868840835
t4 = 18.2817265486101
t5 = -52.4711456553652
t6 = -96.4534428056223
t7 = 41.7766339523286
t8 = 0.567829372928644
t9 = 77.6038868840835
t10 = -4.07752210925112
t11 = 99.9631355419447
t12 = -38.2669412160062
t13 = 58.7543309625447
t14 = -5.71535593425094
t15 = 88.5324236734428
t16 = -35.4934486451491
t17 = -27.3384044266468
t18 = -69.6828677519041
t19 = -75.9660530590837
t20 = 62.2640236988672
t21 = 46.1879603481856
t22 = -43.4144677773285
t23 = -18.2817265486101
t24 = 35.4934486451491
t25 = 24.5649118557897
t26 = 8.48884850510805
t27 = 90.1702574984427
t28 = -11.9985412414305
t29 = -79.4757457954062
t30 = -92.0421164097653
t31 = 31.9837559088266
t32 = 25.700570601647
t33 = -39.904775041006
t34 = -82.2492383662633
t35 = -54.3430045666878
t36 = -25.700570601647
t37 = -31.9837559088266
t38 = -85.7589311025857
t39 = 81.113579620406
t40 = 21.0552191194672
t41 = -8.48884850510805
t42 = 83.8870721912631
t43 = 48.0598192595082
t44 = 16.6438927236103
t45 = -41.7766339523286
t46 = 11.9985412414305
t47 = -10.3607074164307
t48 = 69.6828677519041
t49 = 96.4534428056223
t50 = 38.2669412160062
t51 = -2.20566319792847
t52 = -63.3996824447245
t53 = -99.9631355419447
t54 = 5.71535593425094
t55 = 39.904775041006
t56 = 52.4711456553652
t57 = 93.6799502347652
t58 = 75.9660530590837
t59 = 2.20566319792847
t60 = 10.3607074164307
t61 = 82.2492383662633
t62 = 85.7589311025857
t63 = -55.9808383916876
t64 = -87.3967649275856
t65 = 92.0421164097653
t66 = 55.9808383916876
t67 = 44.5501265231857
t68 = 54.3430045666878
t69 = 33.6215897338264
t70 = -24.5649118557897
t71 = -83.8870721912631
t72 = 60.6261898738674
t73 = 49.697653084508
t74 = -62.2640236988672
t75 = -68.5472090060468
t76 = -98.3253017169449
t77 = 98.3253017169449
t78 = -48.0598192595082
t79 = -71.3207015769039
t80 = -49.697653084508
t81 = -33.6215897338264
t82 = 4.07752210925112
t83 = -60.6261898738674
t84 = -19.4173852944674
t85 = -93.6799502347652
t86 = -90.1702574984427
t86 = -90.1702574984427