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2*x*(4*x^2/(x^2-1)-3)/(x^2-1)^2=0

2*x*(4*x^2/(x^2-1)-3)/(x^2-1)^2=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
    /    2     \    
    | 4*x      |    
2*x*|------ - 3|    
    | 2        |    
    \x  - 1    /    
---------------- = 0
           2        
   / 2    \         
   \x  - 1/         
$$\frac{2 x \left(\frac{4 x^{2}}{x^{2} - 1} - 3\right)}{\left(x^{2} - 1\right)^{2}} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
          ___
x2 = -I*\/ 3 
$$x_{2} = - \sqrt{3} i$$
         ___
x3 = I*\/ 3 
$$x_{3} = \sqrt{3} i$$
x3 = sqrt(3)*i
Suma y producto de raíces [src]
suma
      ___       ___
- I*\/ 3  + I*\/ 3 
$$- \sqrt{3} i + \sqrt{3} i$$
=
0
$$0$$
producto
  /     ___\     ___
0*\-I*\/ 3 /*I*\/ 3 
$$\sqrt{3} i 0 \left(- \sqrt{3} i\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 22084.8864540685
x2 = -42304.9570316658
x3 = -11766.3801995566
x4 = 32261.9429000896
x5 = 28870.0443239138
x6 = 25477.7523458724
x7 = -35522.2850546083
x8 = -21953.5440207038
x9 = 35653.5600915206
x10 = -16862.3469042702
x11 = 15295.916784679
x12 = -38065.8636975321
x13 = -16013.4720527185
x14 = 24629.5989039299
x15 = -41457.1558836535
x16 = -18559.7502493032
x17 = -31282.7110523379
x18 = 29718.0506025805
x19 = -37218.0157645306
x20 = -20256.7878502917
x21 = 16144.9094693216
x22 = 26325.8705101
x23 = -25346.4370832146
x24 = -13465.8957975969
x25 = 42436.2197174085
x26 = 38197.1333279617
x27 = -15164.4561552786
x28 = 27173.9566879897
x29 = -14315.274397861
x30 = 11897.988138794
x31 = 0.0
x32 = 37349.2870749073
x33 = 33957.781411183
x34 = 17842.5013056957
x35 = -36370.1564871382
x36 = -17711.1008157093
x37 = 20388.1492158526
x38 = 41588.4197903116
x39 = -40609.3465240108
x40 = 23781.4064256343
x41 = -21105.1968964816
x42 = -32130.658570691
x43 = -19408.3088124698
x44 = -30434.744447427
x45 = -27890.7127562134
x46 = 13597.4164677413
x47 = -29586.7571194111
x48 = 12747.8411568143
x49 = -39761.528428278
x50 = 40740.6117286069
x51 = -27042.6513633789
x52 = -38913.7010263749
x53 = -28738.7472392398
x54 = -33826.5020757003
x55 = 14446.7624230082
x56 = 21236.5482303869
x57 = -12616.281164374
x58 = 28022.0137740406
x59 = 31413.9981872652
x60 = -23650.0790264216
x61 = 34805.6776847711
x62 = 33109.8702077684
x63 = -32978.5884711971
x64 = -26194.5604562388
x65 = 22933.1705991859
x66 = 18691.135917156
x67 = 39044.9690851035
x68 = 36501.4295958782
x69 = 30566.034624491
x70 = -22801.8360989939
x71 = 16993.7644819806
x72 = -34674.4005770819
x73 = 39892.7950144504
x74 = -24498.2778858815
x75 = 19539.6815406791
x75 = 19539.6815406791
Gráfico
2*x*(4*x^2/(x^2-1)-3)/(x^2-1)^2=0 la ecuación