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___ 2*cos(2*x) + 4*\/ 3 *cos(x) - 7 = 0
a*w^2 + b*w + c = 0
D = b^2 - 4 * a * c =
(4*sqrt(3))^2 - 4 * (4) * (-8) = 176
w1 = (-b + sqrt(D)) / (2*a)
w2 = (-b - sqrt(D)) / (2*a)
-pi x1 = ---- 6
pi x2 = -- 6
/ -2 \ x3 = pi + I*log|----------------| | ____ ___| \\/ 23 - 3*\/ 3 /
/ 2 \ x4 = pi + I*log|----------------| | ____ ___| \\/ 23 + 3*\/ 3 /
x4 = pi + i*log(2/(sqrt(23) + 3*sqrt(3)))
suma
pi pi / -2 \ / 2 \ - -- + -- + pi + I*log|----------------| + pi + I*log|----------------| 6 6 | ____ ___| | ____ ___| \\/ 23 - 3*\/ 3 / \\/ 23 + 3*\/ 3 /
=
/ -2 \ / 2 \ 2*pi + I*log|----------------| + I*log|----------------| | ____ ___| | ____ ___| \\/ 23 - 3*\/ 3 / \\/ 23 + 3*\/ 3 /
producto
-pi pi / / -2 \\ / / 2 \\ ----*--*|pi + I*log|----------------||*|pi + I*log|----------------|| 6 6 | | ____ ___|| | | ____ ___|| \ \\/ 23 - 3*\/ 3 // \ \\/ 23 + 3*\/ 3 //
=
2 / / -2 \\ / / 2 \\ -pi *|pi + I*log|----------------||*|pi + I*log|----------------|| | | ____ ___|| | | ____ ___|| \ \\/ 23 - 3*\/ 3 // \ \\/ 23 + 3*\/ 3 // ------------------------------------------------------------------- 36
-pi^2*(pi + i*log(-2/(sqrt(23) - 3*sqrt(3))))*(pi + i*log(2/(sqrt(23) + 3*sqrt(3))))/36
x1 = 696.909970321336
x2 = -49.7418836818384
x3 = 18.3259571459405
x4 = 93.7241808320955
x5 = 38.2227106186758
x6 = -74.8746249105567
x7 = -57.0722665402146
x8 = 88.4881930761125
x9 = 31.9395253114962
x10 = -25.6563400043166
x11 = 56.025068989018
x12 = -101.054563690472
x13 = 44.5058959258554
x14 = 5.75958653158129
x15 = -5.75958653158129
x16 = -176.452787376627
x17 = 13.0899693899575
x18 = -82.2050077689329
x19 = -93.7241808320955
x20 = 81.1578102177363
x21 = -68.5914396033772
x22 = 68.5914396033772
x23 = 30.8923277602996
x24 = 100.007366139275
x25 = -56.025068989018
x26 = -30.8923277602996
x27 = -24.60914245312
x28 = -8294.32820425265
x29 = 37.1755130674792
x30 = -63.3554518473942
x31 = 69.6386371545737
x32 = -43.4586983746588
x33 = 63.3554518473942
x34 = 19.3731546971371
x35 = -62.3082542961976
x36 = -18.3259571459405
x37 = -31.9395253114962
x38 = 25.6563400043166
x39 = 169.122404518251
x40 = -88.4881930761125
x41 = -87.4409955249159
x42 = -69.6386371545737
x43 = -50.789081233035
x44 = -6.80678408277789
x45 = -19.3731546971371
x46 = -38.2227106186758
x47 = 62.3082542961976
x48 = -94.7713783832921
x49 = -100.007366139275
x50 = 49.7418836818384
x51 = 74.8746249105567
x52 = 12.0427718387609
x53 = -12.0427718387609
x54 = 82.2050077689329
x55 = 57.0722665402146
x56 = -13.0899693899575
x57 = 24.60914245312
x58 = 0.523598775598299
x59 = 213.104701668508
x60 = -75.9218224617533
x61 = 75.9218224617533
x61 = 75.9218224617533