The teacher will be very surprised to see your correct solution 😉
3 2 tan (x) - tan (x) - 3*tan(x) + 3 = 0
a*w^2 + b*w + c = 0
D = b^2 - 4 * a * c =
(0)^2 - 4 * (1) * (-3) = 12
w2 = (-b + sqrt(D)) / (2*a)
w3 = (-b - sqrt(D)) / (2*a)
sum
pi pi pi - -- + -- + -- 3 4 3
=
pi -- 4
product
-pi pi pi ----*--*-- 3 4 3
=
3 -pi ----- 36
-pi^3/36
-pi x1 = ---- 3
pi x2 = -- 4
pi x3 = -- 3
x3 = pi/3
x1 = 90.0589894029074
x2 = -46.3384916404494
x3 = 38.484510006475
x4 = -87.1791961371168
x5 = -90.0589894029074
x6 = 74.3510261349584
x7 = 32.2013246992954
x8 = -85.870199198121
x9 = 7.06858347057703
x10 = 60.4756585816035
x11 = 79.5870138909414
x12 = 70.162235930172
x13 = -24.0855436775217
x14 = -79.5870138909414
x15 = 80.634211442138
x16 = 47.9092879672443
x17 = 35.3429173528852
x18 = 46.0766922526503
x19 = 327.511034136736
x20 = 524175.51964962
x21 = 30.3687289847013
x22 = 54.1924732744239
x23 = -52.3598775598299
x24 = -65.1880475619882
x25 = -74.3510261349584
x26 = 85.870199198121
x27 = 474538.355722902
x28 = -21.2057504117311
x29 = 41.8879020478639
x30 = 73.3038285837618
x31 = -140.586271248143
x32 = 16.4933614313464
x33 = 25.9181393921158
x34 = -33.7721210260903
x35 = -41.8879020478639
x36 = 63.8790506229925
x37 = -19.8967534727354
x38 = 14.6607657167524
x39 = 44.7676953136546
x40 = 286.670329640069
x41 = 22.776546738526
x42 = 51.3126800086333
x43 = -96.342174710087
x44 = 95.2949771588904
x45 = -49.4800842940392
x46 = -5.49778714378214
x47 = 10.2101761241668
x48 = 58.6430628670095
x49 = 76.1836218495525
x50 = -224.100275956072
x51 = -5.23598775598299
x52 = -68.0678408277789
x53 = -55.7632696012188
x54 = -93.4623814442964
x55 = -13.6135681655558
x56 = -40.0553063332699
x57 = 0.785398163397448
x58 = -68.329640215578
x59 = -99.7455667514759
x60 = 66.7588438887831
x61 = 13.6135681655558
x62 = 96.342174710087
x63 = 95.0331777710912
x64 = 52.3598775598299
x65 = -77.7544181763474
x66 = 3.92699081698724
x67 = -30.3687289847013
x68 = -18.0641577581413
x69 = -84.037603483527
x70 = -8.63937979737193
x71 = 36.6519142918809
x72 = -46.0766922526503
x73 = -35.6047167406843
x74 = -11.7809724509617
x75 = 108.908545324446
x76 = 88.7499924639117
x77 = -8.37758040957278
x78 = 55.5014702134197
x79 = -43.1968989868597
x80 = -57.5958653158129
x81 = 57.3340659280137
x82 = -71.4712328691678
x83 = -27.4889357189107
x84 = 24.0855436775217
x85 = 82.4668071567321
x86 = -2.0943951023932
x87 = 98.174770424681
x88 = 4434.88162931759
x89 = -63.8790506229925
x90 = 2.0943951023932
x91 = 68.0678408277789
x92 = 19.8967534727354
x93 = 8.37758040957278
x93 = 8.37758040957278