Mister Exam

5tg2x+8tgx=4 equation

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Numerical solution:

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The solution

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5*tan(2*x) + 8*tan(x) = 4
$$8 \tan{\left(x \right)} + 5 \tan{\left(2 x \right)} = 4$$
The graph
Numerical answer [src]
x1 = -50.0524427513079
x2 = -46.0929597298855
x3 = 90.1607161056
x4 = -65.7604060192569
x5 = -46.9108500977181
x6 = 74.452752837651
x7 = 34.7705588956165
x8 = -59.4772207120773
x9 = 4.17252272755122
x10 = -37.4860721369487
x11 = -61.8009229978344
x12 = 46.1784189553429
x13 = -68.9019986728467
x14 = 96.4439014127796
x15 = 37.9121515492063
x16 = 70.1459684529369
x17 = -85.7684724954285
x18 = -75.1851839800262
x19 = 15.9210029740778
x20 = 9.63781766689817
x21 = 97.6024119674124
x22 = -78.326776633616
x23 = -74.3672936121936
x24 = -68.084108305014
x25 = 68.1695675304714
x26 = 19.8804859955002
x27 = 44.1953368563859
x28 = 80.7359381448306
x29 = -15.4949235618202
x30 = -12.3533309082304
x31 = 30.4704556873939
x32 = 14.7624924194449
x33 = 75.6112633922838
x34 = 72.469670738694
x35 = 88.177634006643
x36 = 50.4785221635655
x37 = 41.8716345706287
x38 = 63.0448927779247
x39 = -41.7861753451714
x40 = 85.8539317208858
x41 = -81.4683692872058
x42 = -9.21173825464059
x43 = -87.7515545943854
x44 = -30.3849964619365
x45 = -96.3584421873222
x46 = -57.4941386131203
x47 = 66.1864854315145
x48 = 78.7528560458736
x49 = -28.0612941761793
x50 = 81.8944486994634
x51 = 2.19612180508575
x52 = -19.7950267700428
x53 = -7.22865615568363
x54 = 12.779410320488
x55 = -35.5029900379918
x56 = -43.7692574441283
x57 = 41.0537442027961
x58 = -63.7773239202999
x59 = -13.5118414628632
x60 = -24.9197015225896
x61 = -56.3356280584875
x62 = -79.4852871882489
x63 = -97.1763325551548
x64 = -31.2028868297691
x65 = 53.6201148171553
x66 = 31.6289662420267
x67 = -6.07014560105079
x68 = 85.0360413530532
x69 = -90.0752568801426
x70 = 36.7536409945735
x71 = 8.47930711226534
x72 = -90.8931472479752
x73 = -72.0435913264365
x74 = -53.1940354048977
x75 = -24.1018111547569
x76 = 6.49622501330838
x77 = -39.8097744227059
x78 = 22.2041882812573
x79 = -2.928552947461
x80 = 94.4608193138226
x81 = 59.9033001243349
x82 = -52.3761450370651
x83 = 28.4873735884369
x84 = 92.1371170280654
x85 = 19.0625956276676
x86 = 63.8627831457573
x87 = 24.1872703802143
x88 = -100.317925208745
x89 = 58.744789569702
x90 = 100.744004621002
x91 = 56.7617074707451
x92 = 0.213039706128793
x93 = 52.4616042625224
x94 = 26.1636713026798
x95 = 48.1548198778083
x96 = -94.034739901565
x97 = -21.7781088689998
x98 = -2.11066257962837
x99 = -83.792071572963
x100 = -34.3444794833589
x101 = -17.8186258475773
x101 = -17.8186258475773
The graph
5tg2x+8tgx=4 equation