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(tg(x))^2-2tg(x)-3=0

(tg(x))^2-2tg(x)-3=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   2                      
tan (x) - 2*tan(x) - 3 = 0
$$\left(\tan^{2}{\left(x \right)} - 2 \tan{\left(x \right)}\right) - 3 = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
x2 = atan(3)
$$x_{2} = \operatorname{atan}{\left(3 \right)}$$
x2 = atan(3)
Suma y producto de raíces [src]
suma
  pi          
- -- + atan(3)
  4           
$$- \frac{\pi}{4} + \operatorname{atan}{\left(3 \right)}$$
=
  pi          
- -- + atan(3)
  4           
$$- \frac{\pi}{4} + \operatorname{atan}{\left(3 \right)}$$
producto
-pi         
----*atan(3)
 4          
$$- \frac{\pi}{4} \operatorname{atan}{\left(3 \right)}$$
=
-pi*atan(3) 
------------
     4      
$$- \frac{\pi \operatorname{atan}{\left(3 \right)}}{4}$$
-pi*atan(3)/4
Respuesta numérica [src]
x1 = 40.0553063332699
x2 = 65.1880475619882
x3 = -3.92699081698724
x4 = -88.7499924639117
x5 = -13.3517687777566
x6 = 8.63937979737193
x7 = 20.098601693937
x8 = 99.7455667514759
x9 = -54.1924732744239
x10 = -22.776546738526
x11 = -1.89254688119154
x12 = -74.1491779137568
x13 = -91.8915851175014
x14 = 52.621676947629
x15 = 18.0641577581413
x16 = -96.1403264888853
x17 = 62.0464549083984
x18 = 49.4800842940392
x19 = 4.39063842598805
x20 = -45.8748440314486
x21 = 2.35619449019234
x22 = 13.8154163867574
x23 = -67.8659926065772
x24 = -32.2013246992954
x25 = 77.7544181763474
x26 = -57.3340659280137
x27 = -76.1836218495525
x28 = 80.8960108299372
x29 = 93.4623814442964
x30 = -47.9092879672443
x31 = -41.6261026600648
x32 = -69.9004365423729
x33 = -66.7588438887831
x34 = 68.329640215578
x35 = -25.9181393921158
x36 = -35.3429173528852
x37 = -10.2101761241668
x38 = 35.806564961886
x39 = 24.3473430653209
x40 = 55.7632696012188
x41 = 26.3817870011166
x42 = -78622.2831469016
x43 = 64.0808988441941
x44 = 21.2057504117311
x45 = -0.785398163397448
x46 = 74.6128255227576
x47 = 43.1968989868597
x48 = 42.0897502690656
x49 = 71.4712328691678
x50 = -85.6083998103219
x51 = -98.174770424681
x52 = -38.484510006475
x53 = -60.4756585816035
x54 = -63.6172512351933
x55 = -52.1580293386282
x56 = 147446.72420542
x57 = 46.3384916404494
x58 = 5.49778714378214
x59 = -19.6349540849362
x60 = -8.17573218837112
x61 = 63304.3410156067
x62 = 27.4889357189107
x63 = -16.4933614313464
x64 = 86.0720474193227
x65 = -23.8836954563201
x66 = -82.4668071567321
x67 = -44.7676953136546
x68 = 33.7721210260903
x69 = 48.3729355762452
x70 = 87.1791961371168
x71 = -698.218967260332
x72 = -79.3252145031423
x73 = 30.6305283725005
x74 = 84.037603483527
x75 = 96.6039740978861
x76 = 70.3640841513737
x77 = 92.3552327265023
x78 = 90.3207887907066
x79 = -51.0508806208341
x80 = 11.7809724509617
x81 = -89.8571411817058
x82 = -30.1668807634997
x82 = -30.1668807634997
Gráfico
(tg(x))^2-2tg(x)-3=0 la ecuación