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ctg(2x^2-1) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /   2    \    
cot\2*x  - 1/ = 0
$$\cot{\left(2 x^{2} - 1 \right)} = 0$$
Gráfica
Respuesta rápida [src]
        ________ 
     -\/ 2 + pi  
x1 = ------------
          2      
$$x_{1} = - \frac{\sqrt{2 + \pi}}{2}$$
       ________
     \/ 2 + pi 
x2 = ----------
         2     
$$x_{2} = \frac{\sqrt{2 + \pi}}{2}$$
x2 = sqrt(2 + pi)/2
Suma y producto de raíces [src]
suma
    ________     ________
  \/ 2 + pi    \/ 2 + pi 
- ---------- + ----------
      2            2     
$$- \frac{\sqrt{2 + \pi}}{2} + \frac{\sqrt{2 + \pi}}{2}$$
=
0
$$0$$
producto
   ________    ________
-\/ 2 + pi   \/ 2 + pi 
------------*----------
     2           2     
$$- \frac{\sqrt{2 + \pi}}{2} \frac{\sqrt{2 + \pi}}{2}$$
=
  1   pi
- - - --
  2   4 
$$- \frac{\pi}{4} - \frac{1}{2}$$
-1/2 - pi/4
Respuesta numérica [src]
x1 = 97.989757360317
x2 = -88.8865576204576
x3 = 45.3072334286429
x4 = 30.1269792499025
x5 = 38.1760866656375
x6 = -59.724308786187
x7 = -51.748645769932
x8 = 100.122608632824
x9 = 12.009490576279
x10 = -48.0334717243955
x11 = 85.3710112284312
x12 = -97.5801308405931
x13 = -35.7319467076852
x14 = 44.9417253573429
x15 = -23.938572662478
x16 = -81.7715999904764
x17 = -79.7586341743384
x18 = 34.2046468378026
x19 = -9.27946118103427
x20 = -25.7408362673797
x21 = 82.2599852763725
x22 = -28.2153918902718
x23 = 1.13375401361911
x24 = -81.5889050961794
x25 = -29.7333639842876
x26 = 2.10404154355071
x27 = 12.1395822232613
x28 = -65.4227375791681
x29 = -53.7146856470261
x30 = -89.9493550902791
x31 = -60.0783202229496
x32 = -53.8461198332803
x33 = -77.8954479558677
x34 = 60.6508004826832
x35 = 14.0022906228218
x36 = 26.2544127586119
x37 = 39.9651656594466
x38 = 76.0279230575308
x39 = -37.5538240835527
x40 = 62.6759620201448
x41 = -3.72179644496534
x42 = -84.0451407484886
x43 = -99.8791373276271
x44 = -377.109745363618
x45 = 35.9292246292904
x46 = 21.519747169544
x47 = 71.973612439603
x48 = 31.9980281721683
x49 = 63.5470845753468
x50 = 85.7382144159576
x51 = 29.1194886340033
x52 = -91.7475455646114
x53 = -73.7095590559335
x54 = -11.7449852530582
x55 = -34.2963708080896
x56 = 67.9432484231274
x57 = -55.7523141453671
x58 = -43.9521795113089
x59 = 16.1389836137396
x60 = -1.69002795544699
x61 = 42.1087123382803
x62 = 70.2730264986485
x63 = 84.2411562497568
x64 = 46.2338447741961
x65 = 24.0041007698753
x66 = -69.8695182859818
x67 = -63.9659208730501
x68 = 54.2964023415053
x69 = 104.52833994196
x70 = -94.0137518276528
x71 = 56.0053110557027
x72 = -95.866802960741
x73 = -20.0066905101594
x74 = -57.9218055301326
x75 = -45.7557221061388
x76 = -8.0073248488614
x77 = 6.36830482414825
x78 = 72.3653892090051
x79 = 48.4243070961411
x80 = -61.8560785526287
x81 = -14.0022906228218
x82 = 96.2347637011663
x83 = 8.0073248488614
x84 = -42.6461809341129
x85 = -15.6447700148199
x86 = -71.919030207395
x87 = -39.8076386585873
x88 = 20.4339527444899
x89 = 4.12230050231014
x90 = 78.257584169267
x91 = 58.1248440924569
x92 = -17.7164857462077
x93 = -31.7516274171723
x94 = 80.2494831241652
x95 = 92.2512281783357
x96 = 18.2837145964357
x97 = -85.7382144159576
x98 = 89.8182862019488
x99 = 52.1718759119524
x99 = 52.1718759119524