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tgx-3^(1/2)*ctgx=3^(1/2)-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
           ___            ___    
tan(x) - \/ 3 *cot(x) = \/ 3  - 1
$$\tan{\left(x \right)} - \sqrt{3} \cot{\left(x \right)} = -1 + \sqrt{3}$$
Gráfica
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  4    3 
$$- \frac{\pi}{4} + \frac{\pi}{3}$$
=
pi
--
12
$$\frac{\pi}{12}$$
producto
-pi  pi
----*--
 4   3 
$$- \frac{\pi}{4} \frac{\pi}{3}$$
=
   2 
-pi  
-----
  12 
$$- \frac{\pi^{2}}{12}$$
-pi^2/12
Respuesta rápida [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
     pi
x2 = --
     3 
$$x_{2} = \frac{\pi}{3}$$
x2 = pi/3
Respuesta numérica [src]
x1 = -93.2005820564972
x2 = 2.35619449019234
x3 = -68.0678408277789
x4 = -38.484510006475
x5 = 11.7809724509617
x6 = 63.8790506229925
x7 = 46.3384916404494
x8 = 82.7286065445312
x9 = 36.9137136796801
x10 = 40.0553063332699
x11 = -32.2013246992954
x12 = -25.9181393921158
x13 = 58.9048622548086
x14 = 33.7721210260903
x15 = 96.6039740978861
x16 = 55.7632696012188
x17 = 71.4712328691678
x18 = 70.162235930172
x19 = 5.49778714378214
x20 = 38.7463093942741
x21 = 76.4454212373516
x22 = -69.9004365423729
x23 = -39.7935069454707
x24 = -77.4926187885482
x25 = 18.0641577581413
x26 = -85.6083998103219
x27 = 89.0117918517108
x28 = -96.342174710087
x29 = 85.870199198121
x30 = 98.4365698124802
x31 = -7.06858347057703
x32 = 62.0464549083984
x33 = -24.0855436775217
x34 = 52.621676947629
x35 = -63.6172512351933
x36 = -16.4933614313464
x37 = -10.2101761241668
x38 = -90.0589894029074
x39 = -47.9092879672443
x40 = 23.0383461263252
x41 = 99.7455667514759
x42 = 60.7374579694027
x43 = -2.0943951023932
x44 = 41.8879020478639
x45 = -74.3510261349584
x46 = 26.1799387799149
x47 = 24.3473430653209
x48 = -82.4668071567321
x49 = -76.1836218495525
x50 = -60.4756585816035
x51 = -61.7846555205993
x52 = -57.3340659280137
x53 = 8.63937979737193
x54 = -54.1924732744239
x55 = -55.5014702134197
x56 = -35.3429173528852
x57 = -30.3687289847013
x58 = -98.174770424681
x59 = 80.8960108299372
x60 = -64.9262481741891
x61 = -46.0766922526503
x62 = -33.5103216382911
x63 = 49.4800842940392
x64 = 16.7551608191456
x65 = 27.4889357189107
x66 = 45.0294947014537
x67 = -99.4837673636768
x68 = -27.2271363311115
x69 = 67.0206432765823
x70 = -41.6261026600648
x71 = -91.8915851175014
x72 = -5.23598775598299
x73 = -86.9173967493176
x74 = -11.5191730631626
x75 = 77.7544181763474
x76 = 14.9225651045515
x77 = -83.7758040957278
x78 = -19.6349540849362
x79 = -13.3517687777566
x80 = 19.8967534727354
x81 = 48.1710873550435
x82 = -3.92699081698724
x83 = -49.2182849062401
x84 = 4.18879020478639
x85 = 32.4631240870945
x86 = -79.3252145031423
x87 = 90.3207887907066
x88 = 30.6305283725005
x89 = -42.9350995990605
x90 = -71.2094334813686
x91 = 54.4542726622231
x92 = -20.943951023932
x93 = 92.1533845053006
x94 = 10.471975511966
x95 = 84.037603483527
x96 = 93.4623814442964
x97 = 68.329640215578
x98 = -17.8023583703422
x99 = 74.6128255227576
x100 = -52.3598775598299
x100 = -52.3598775598299