El profesor se sorprenderá mucho al ver tu solución correcta😉
/ / 2 \ \ | | 4*x | / 2 \| | |------ - 1|*\x - 5*x + 3/| | | 2 | | |-2*x*(2*x - 5) \x + 1 / | 2*|-------------- + 1 + ---------------------------| | 2 2 | \ x + 1 x + 1 / ---------------------------------------------------- = 0 2 x + 1
/ 1 \ / / 1 \ \ 29*re|--------------------------------| |29*im|--------------------------------| | |/ ___\ ____________| | |/ ___\ ____________| | || 1 I*\/ 3 | / 58 29*I | | || 1 I*\/ 3 | / 58 29*I | ____ /atan(5/2)\ ____ /atan(5/2)\| ____ /atan(5/2)\ ____ /atan(5/2)\ ||- - - -------|*3 / --- + ---- | | ||- - - -------|*3 / --- + ---- | \/ 29 *sin|---------| \/ 87 *cos|---------|| \/ 29 *cos|---------| \/ 87 *sin|---------| 2 \\ 2 2 / \/ 125 25 / | \\ 2 2 / \/ 125 25 / \ 3 / \ 3 /| \ 3 / \ 3 / x1 = - + --------------------------------------- + I*|--------------------------------------- - --------------------- - ---------------------| - --------------------- + --------------------- 5 25 \ 25 10 10 / 10 10
/ 1 \ / / 1 \ \ 29*re|--------------------------------| |29*im|--------------------------------| | |/ ___\ ____________| | |/ ___\ ____________| | || 1 I*\/ 3 | / 58 29*I | | || 1 I*\/ 3 | / 58 29*I | ____ /atan(5/2)\ ____ /atan(5/2)\| ____ /atan(5/2)\ ____ /atan(5/2)\ ||- - + -------|*3 / --- + ---- | | ||- - + -------|*3 / --- + ---- | \/ 29 *sin|---------| \/ 87 *cos|---------|| \/ 29 *cos|---------| \/ 87 *sin|---------| 2 \\ 2 2 / \/ 125 25 / | \\ 2 2 / \/ 125 25 / \ 3 / \ 3 /| \ 3 / \ 3 / x2 = - + --------------------------------------- + I*|--------------------------------------- - --------------------- + ---------------------| - --------------------- - --------------------- 5 25 \ 25 10 10 / 10 10
____________ 2 / 58 29*I 29 x3 = - + 3 / --- + ---- + ------------------- 5 \/ 125 25 ____________ / 58 29*I 25*3 / --- + ---- \/ 125 25
x3 = 2/5 + 29/(25*(58/125 + 29*i/25)^(1/3)) + (58/125 + 29*i/25)^(1/3)
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ 29*re|--------------------------------| |29*im|--------------------------------| | 29*re|--------------------------------| |29*im|--------------------------------| | |/ ___\ ____________| | |/ ___\ ____________| | |/ ___\ ____________| | |/ ___\ ____________| | || 1 I*\/ 3 | / 58 29*I | | || 1 I*\/ 3 | / 58 29*I | ____ /atan(5/2)\ ____ /atan(5/2)\| ____ /atan(5/2)\ ____ /atan(5/2)\ || 1 I*\/ 3 | / 58 29*I | | || 1 I*\/ 3 | / 58 29*I | ____ /atan(5/2)\ ____ /atan(5/2)\| ____ /atan(5/2)\ ____ /atan(5/2)\ ||- - - -------|*3 / --- + ---- | | ||- - - -------|*3 / --- + ---- | \/ 29 *sin|---------| \/ 87 *cos|---------|| \/ 29 *cos|---------| \/ 87 *sin|---------| ||- - + -------|*3 / --- + ---- | | ||- - + -------|*3 / --- + ---- | \/ 29 *sin|---------| \/ 87 *cos|---------|| \/ 29 *cos|---------| \/ 87 *sin|---------| ____________ 2 \\ 2 2 / \/ 125 25 / | \\ 2 2 / \/ 125 25 / \ 3 / \ 3 /| \ 3 / \ 3 / 2 \\ 2 2 / \/ 125 25 / | \\ 2 2 / \/ 125 25 / \ 3 / \ 3 /| \ 3 / \ 3 / 2 / 58 29*I 29 - + --------------------------------------- + I*|--------------------------------------- - --------------------- - ---------------------| - --------------------- + --------------------- + - + --------------------------------------- + I*|--------------------------------------- - --------------------- + ---------------------| - --------------------- - --------------------- + - + 3 / --- + ---- + ------------------- 5 25 \ 25 10 10 / 10 10 5 25 \ 25 10 10 / 10 10 5 \/ 125 25 ____________ / 58 29*I 25*3 / --- + ---- \/ 125 25
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ 29*re|--------------------------------| 29*re|--------------------------------| |29*im|--------------------------------| | |29*im|--------------------------------| | |/ ___\ ____________| |/ ___\ ____________| | |/ ___\ ____________| | | |/ ___\ ____________| | || 1 I*\/ 3 | / 58 29*I | || 1 I*\/ 3 | / 58 29*I | | || 1 I*\/ 3 | / 58 29*I | ____ /atan(5/2)\ ____ /atan(5/2)\| | || 1 I*\/ 3 | / 58 29*I | ____ /atan(5/2)\ ____ /atan(5/2)\| ____ /atan(5/2)\ ____________ ||- - + -------|*3 / --- + ---- | ||- - - -------|*3 / --- + ---- | | ||- - + -------|*3 / --- + ---- | \/ 29 *sin|---------| \/ 87 *cos|---------|| | ||- - - -------|*3 / --- + ---- | \/ 29 *sin|---------| \/ 87 *cos|---------|| \/ 29 *cos|---------| 6 / 58 29*I 29 \\ 2 2 / \/ 125 25 / \\ 2 2 / \/ 125 25 / | \\ 2 2 / \/ 125 25 / \ 3 / \ 3 /| | \\ 2 2 / \/ 125 25 / \ 3 / \ 3 /| \ 3 / - + 3 / --- + ---- + ------------------- + --------------------------------------- + --------------------------------------- + I*|--------------------------------------- - --------------------- + ---------------------| + I*|--------------------------------------- - --------------------- - ---------------------| - --------------------- 5 \/ 125 25 ____________ 25 25 \ 25 10 10 / \ 25 10 10 / 5 / 58 29*I 25*3 / --- + ---- \/ 125 25
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | 29*re|--------------------------------| |29*im|--------------------------------| | | | 29*re|--------------------------------| |29*im|--------------------------------| | | | |/ ___\ ____________| | |/ ___\ ____________| | | | |/ ___\ ____________| | |/ ___\ ____________| | | | || 1 I*\/ 3 | / 58 29*I | | || 1 I*\/ 3 | / 58 29*I | ____ /atan(5/2)\ ____ /atan(5/2)\| ____ /atan(5/2)\ ____ /atan(5/2)\| | || 1 I*\/ 3 | / 58 29*I | | || 1 I*\/ 3 | / 58 29*I | ____ /atan(5/2)\ ____ /atan(5/2)\| ____ /atan(5/2)\ ____ /atan(5/2)\| | ||- - - -------|*3 / --- + ---- | | ||- - - -------|*3 / --- + ---- | \/ 29 *sin|---------| \/ 87 *cos|---------|| \/ 29 *cos|---------| \/ 87 *sin|---------|| | ||- - + -------|*3 / --- + ---- | | ||- - + -------|*3 / --- + ---- | \/ 29 *sin|---------| \/ 87 *cos|---------|| \/ 29 *cos|---------| \/ 87 *sin|---------|| / ____________ \ |2 \\ 2 2 / \/ 125 25 / | \\ 2 2 / \/ 125 25 / \ 3 / \ 3 /| \ 3 / \ 3 /| |2 \\ 2 2 / \/ 125 25 / | \\ 2 2 / \/ 125 25 / \ 3 / \ 3 /| \ 3 / \ 3 /| |2 / 58 29*I 29 | |- + --------------------------------------- + I*|--------------------------------------- - --------------------- - ---------------------| - --------------------- + ---------------------|*|- + --------------------------------------- + I*|--------------------------------------- - --------------------- + ---------------------| - --------------------- - ---------------------|*|- + 3 / --- + ---- + -------------------| \5 25 \ 25 10 10 / 10 10 / \5 25 \ 25 10 10 / 10 10 / |5 \/ 125 25 ____________| | / 58 29*I | | 25*3 / --- + ---- | \ \/ 125 25 /
=
2/3 / 3 ____________ / 3 ____________\\ / /2*atan(5/2)\ ____ /atan(5/2)\\ 29 *\29 + \/ 58 + 145*I *\2 + \/ 58 + 145*I //*|-25 + 58*cos|-----------| - 4*\/ 29 *cos|---------|| \ \ 3 / \ 3 // ------------------------------------------------------------------------------------------------------ 3 _________ 3625*\/ 2 + 5*I
29^(2/3)*(29 + (58 + 145*i)^(1/3)*(2 + (58 + 145*i)^(1/3)))*(-25 + 58*cos(2*atan(5/2)/3) - 4*sqrt(29)*cos(atan(5/2)/3))/(3625*(2 + 5*i)^(1/3))
x1 = 23141.2871414737
x2 = 28222.9902792486
x3 = -32836.0908611716
x4 = -22671.0784609129
x5 = 37542.2581534465
x6 = 29070.0775360195
x7 = -34530.6110215311
x8 = -27753.0246082813
x9 = 27375.9358778704
x10 = -39614.5197917689
x11 = -33683.3424285563
x12 = -24364.8937154052
x13 = -26905.9389919123
x14 = 22294.5163449108
x15 = -35377.8954358315
x16 = 38389.5717165956
x17 = -40461.87927088
x18 = -36225.1945781885
x19 = -28600.1403609643
x20 = 25681.9390289484
x21 = -25211.870065014
x22 = 21447.8137095784
x23 = 30764.3394950442
x24 = 0.127520008265528
x25 = 39236.8980608255
x26 = 35000.403624952
x27 = 40084.2363610529
x28 = 26528.917568814
x29 = 20601.1879629253
x30 = -21824.2499741543
x31 = 41778.9458696908
x32 = -31141.6442642844
x33 = -30294.4523404771
x34 = -31988.857649096
x35 = 35847.6730687601
x36 = 23988.1186454862
x37 = -37919.8331556035
x38 = -42156.6273460194
x39 = 29917.1947872752
x40 = 31611.5093999564
x41 = -38767.1708545838
x42 = -29447.2836960679
x43 = -20977.4825624709
x44 = 40931.5858617346
x45 = 36694.958274193
x46 = 33305.9169392146
x47 = 34153.1511408611
x48 = -26058.8863912926
x49 = 24835.0044525093
x50 = 2.38673073904276
x51 = -23517.9615667876
x52 = 32458.7024840204
x53 = -37072.5074538246
x54 = -20130.7837421488
x55 = 42626.3157477988
x56 = -41309.2486520078
x56 = -41309.2486520078