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tgx*tg(pi/3+(x))*tg(pi/3-(x))=1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
          /pi    \    /pi    \    
tan(x)*tan|-- + x|*tan|-- - x| = 1
          \3     /    \3     /    
$$\tan{\left(x \right)} \tan{\left(x + \frac{\pi}{3} \right)} \tan{\left(- x + \frac{\pi}{3} \right)} = 1$$
Gráfica
Suma y producto de raíces [src]
suma
0
$$0$$
=
0
$$0$$
producto
1
$$1$$
=
1
$$1$$
1
Respuesta numérica [src]
x1 = -75.1364242983559
x2 = -79.3252145031423
x3 = -85.6083998103219
x4 = -1.83259571459405
x5 = 0.261799387799149
x6 = 84.037603483527
x7 = 12.8281700021583
x8 = 24.3473430653209
x9 = 52.621676947629
x10 = 15.9697626557481
x11 = 46.3384916404494
x12 = -74.0892267471593
x13 = 13.8753675533549
x14 = 36.9137136796801
x15 = -25.9181393921158
x16 = -52.0980781720307
x17 = 72.5184304203644
x18 = -19.6349540849362
x19 = 68.329640215578
x20 = -67.8060414399797
x21 = 81.9432083811338
x22 = 96.6039740978861
x23 = -53.1452757232273
x24 = 32.7249234748937
x25 = 6.54498469497874
x26 = 34.8193185772869
x27 = -91.8915851175014
x28 = 44.2440965380563
x29 = 4.45058959258554
x30 = -13.3517687777566
x31 = -83.5140047079287
x32 = -99.2219679758776
x33 = 50.5272818452358
x34 = -81.4196096055355
x35 = 88.2263936883134
x36 = -17.540558982543
x37 = 26.4417381677141
x38 = -59.4284610304069
x39 = 42.1497014356631
x40 = 28.5361332701073
x41 = 94.5095789954929
x42 = -9.16297857297023
x43 = -47.9092879672443
x44 = -65.7116463375865
x45 = 59.9520598060052
x46 = 20.1585528605345
x47 = 78.801615727544
x48 = 80.8960108299372
x49 = -28.012534494509
x50 = -23.8237442897226
x51 = -57.3340659280137
x52 = 8.63937979737193
x53 = 58.9048622548086
x54 = -8.11578102177363
x55 = 40.0553063332699
x56 = -69.9004365423729
x57 = -55.2396708256205
x58 = -33.248522250492
x59 = 100.792764302673
x60 = 90.3207887907066
x61 = 74.6128255227576
x62 = 62.0464549083984
x63 = 56.8104671524154
x64 = -30.1069295969022
x65 = -21.7293491873294
x66 = -89.7971900151083
x67 = -87.7027949127151
x68 = 98.6983692002793
x69 = -11.2573736753634
x70 = 54.7160720500222
x71 = -3.92699081698724
x72 = -71.9948316447661
x73 = 76.7072206251508
x74 = -15.4461638801498
x75 = -31.1541271480988
x76 = -63.6172512351933
x77 = -61.5228561328001
x78 = -39.5317075576716
x79 = 37.9609112308767
x80 = -43.720497762458
x81 = -45.8148928648512
x82 = 48.4328867428426
x83 = -96.0803753222878
x84 = 2.35619449019234
x85 = -6.02138591938044
x86 = 10.7337748997651
x87 = 66.2352451131848
x88 = 18.0641577581413
x89 = -37.4373124552784
x90 = 86.1319985859202
x91 = -50.0036830696375
x92 = -41.6261026600648
x93 = 30.6305283725005
x94 = 64.1408500107916
x95 = -97.1275728734844
x96 = -77.2308194007491
x97 = -35.3429173528852
x98 = 22.2529479629277
x99 = 70.4240353179712
x100 = 92.4151838930998
x101 = -93.9859802198946
x101 = -93.9859802198946