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tg(6x-(π/6))=(sqrt3/3) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

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Solución

Ha introducido [src]
                  ___
   /      pi\   \/ 3 
tan|6*x - --| = -----
   \      6 /     3  
$$\tan{\left(6 x - \frac{\pi}{6} \right)} = \frac{\sqrt{3}}{3}$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      9  
$$x_{1} = - \frac{\pi}{9}$$
x1 = -pi/9
Suma y producto de raíces [src]
suma
-pi 
----
 9  
$$- \frac{\pi}{9}$$
=
-pi 
----
 9  
$$- \frac{\pi}{9}$$
producto
-pi 
----
 9  
$$- \frac{\pi}{9}$$
=
-pi 
----
 9  
$$- \frac{\pi}{9}$$
-pi/9
Respuesta numérica [src]
x1 = 12.2173047639603
x2 = 22.165681500328
x3 = 72.4311639577647
x4 = -31.7649923862968
x5 = -15.5334303427495
x6 = -45.9021593274509
x7 = 34.2084533390889
x8 = -51.6617458590322
x9 = -65.7989128001862
x10 = -93.5496479068961
x11 = 2.26892802759263
x12 = 66.1479786505851
x13 = -87.7900613753148
x14 = 10.1229096615671
x15 = -23.9110107523223
x16 = -69.9877030049726
x17 = -21.8166156499291
x18 = -41.7133691226645
x19 = -71.5584993317675
x20 = 24.2600766027212
x21 = -39.6189740202713
x22 = -43.8077642250577
x23 = 50.4400153826361
x24 = 54.1052068118242
x25 = 0.174532925199433
x26 = 82.3795406941324
x27 = 36.3028484414821
x28 = 8.02851455917392
x29 = -47.9965544298441
x30 = 88.1391272257137
x31 = -67.8933079025794
x32 = 38.3972435438752
x33 = -4.01425727958696
x34 = -97.7384381116825
x35 = 80.2851455917392
x36 = -89.884456477708
x37 = 70.3367688553715
x38 = -85.6956662729216
x39 = 58.2939970166106
x40 = -75.7472895365539
x41 = 64.0535835481919
x42 = 6.45771823237902
x43 = 26.3544717051144
x44 = 46.2512251778497
x45 = 44.1568300754565
x46 = -61.6101225953998
x47 = -35.9537825910832
x48 = 39.9680398706701
x49 = -27.5762021815104
x50 = -79.9360797413403
x51 = 30.0196631343025
x52 = 100.181899064475
x53 = 95.9931088596881
x54 = -33.85938748869
x55 = -38.0481776934764
x56 = 56.1996019142174
x57 = 76.0963553869528
x58 = 42.0624349730633
x59 = 98.0875039620813
x60 = 86.0447321233204
x61 = 4.36332312998582
x62 = -1.91986217719376
x63 = -73.6528944341607
x64 = -13.9626340159546
x65 = 78.190750489346
x66 = 90.2335223281068
x67 = -77.8416846389471
x68 = 14.3116998663535
x69 = -60.0393262686049
x70 = -26.0054058547155
x71 = 20.0712863979348
x72 = -29.6705972839036
x73 = -19.7222205475359
x74 = 28.4488668075076
x75 = -49.567350756639
x76 = -99.8328332140756
x77 = -55.8505360638185
x78 = -11.8682389135614
x79 = 61.9591884457987
x80 = -57.9449311662117
x81 = -9.77384381116824
x82 = 94.4223125328932
x83 = 74.0019602845596
x84 = 83.9503370209273
x85 = -82.0304748437335
x86 = -17.6278254451427
x87 = 68.2423737529783
x88 = 52.010811709431
x89 = -63.704517697793
x90 = -53.7561409614254
x91 = 32.1140582366957
x92 = -83.6012711705284
x93 = -5.58505360638185
x94 = 48.3456202802429
x95 = -91.9788515801012
x96 = 16.4060949687467
x97 = 92.3279174305
x98 = 60.3883921190038
x99 = -7.67944870877505
x100 = 17.9768912955416
x101 = -95.6440430092893
x101 = -95.6440430092893