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

x^4/(x^3-1)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
   4      
  x       
------ = 0
 3        
x  - 1
$$\frac{x^{4}}{x^{3} - 1} = 0$$
Simplificar
Solución detallada
Tenemos la ecuación:
$$\frac{x^{4}}{x^{3} - 1} = 0$$
cambiamos:
Saquemos el factor común fuera de paréntesis
$$\frac{x^{4}}{\left(x - 1\right) \left(x^{2} + x + 1\right)} = 0$$
denominador
$$x - 1$$
entonces
x no es igual a 1

denominador
$$x^{2} + x + 1$$
entonces
x no es igual a -1/2 - sqrt(3)*I/2

x no es igual a -1/2 + sqrt(3)*I/2

Ya que la parte derecha de la ecuación es igual a cero, la solución de la ecuación será, si por lo menos uno de los factores en la parte izquierda de la ecuación es igual a cero.
Obtenemos ecuaciones
$$x = 0$$
resolvemos las ecuaciones obtenidas:
1.
$$x = 0$$
Obtenemos la respuesta: x1 = 0
pero
x no es igual a 1

x no es igual a -1/2 - sqrt(3)*I/2

x no es igual a -1/2 + sqrt(3)*I/2

Entonces la respuesta definitiva es:
$$x_{1} = 0$$
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
0
$$0$$ 
=
0
$$0$$ 
producto
0
$$0$$ 
=
0
$$0$$ 
0
Respuesta rápida [src] 
x1 = 0
$$x_{1} = 0$$ 
x1 = 0
Respuesta numérica [src] 
x1 = -4.18222968333137e-5
x2 = -1.14166412095867e-6
x3 = -1.24971884982348e-6
x4 = -1.35743106707226e-5
x5 = -0.000103332775242263
x6 = -1.93290715418411e-6
x7 = -1.14761544976444e-6
x8 = -2.60607992677596e-5
x9 = -1.57532442032212e-5
x10 = -6.01565772259553e-6
x11 = -4.19873739492269e-6
x12 = -1.72835744803739e-6
x13 = -4.06146544486498e-5
x14 = -0.000654344497232379
x15 = -1.36608022040837e-6
x16 = -1.16261055098824e-5
x17 = -0.000107765824814504
x18 = -2.94247417143869e-6
x19 = -2.14521042004689e-6
x20 = -2.04197330308803e-6
x21 = -2.56544714420215e-6
x22 = -0.000299826845030901
x23 = -3.34895670670382e-6
x24 = -1.54602102954776e-5
x25 = -1.05226624896665e-6
x26 = -8.08426715130999e-6
x27 = -1.82036906997376e-6
x28 = -3.63435350571175e-6
x29 = -2.27302003871264e-6
x30 = -6.5526054998937e-6
x31 = -3.2995928343424e-5
x32 = -7.25821660170757e-6
x33 = -2.66938828581909e-5
x34 = -1.18180040282252e-5
x35 = -9.19216648501129e-6
x36 = -1.30595781728769e-6
x37 = -1.03817109702816e-5
x38 = -6.63419988149721e-6
x39 = -5.41834063368555e-6
x40 = -3.88269562579861e-6
x41 = -1.09559876116419e-6
x42 = -1.10119349890394e-6
x43 = -1.83235135647541e-6
x44 = -1.43045201116413e-6
x45 = -3.14935158127418e-6
x46 = -2.73329138790717e-6
x47 = -3.12244638398971e-6
x48 = -4.95860798032208e-6
x49 = -2.91816324076206e-6
x50 = -5.29572391754821e-5
x51 = -1.73944300057197e-6
x52 = -9.05981598923417e-6
x53 = -1.57363483085024e-6
x54 = -2.430881027468e-6
x55 = -1.02232469567516e-5
x56 = -7.19322664791715e-5
x57 = -5.4797505033749e-6
x58 = -2.1605379443783e-6
x59 = -0.000168797170534604
x60 = -3.3788384626649e-6
x61 = -3.91998683361646e-6
x62 = -2.20383103252304e-5
x63 = -1.19703592827057e-6
x64 = -2.41260180383896e-6
x65 = -1.29873682781925e-6
x66 = 0.0
x67 = -8.19593002409428e-6
x68 = -5.01238894014566e-6
x69 = -7.35328105784279e-6
x70 = -1.85020860558564e-5
x71 = -5.94510764505811e-6
x72 = -1.2429580592328e-6
x73 = -1.49948328549355e-6
x74 = -1.56409132645436e-6
x75 = -1.91992879930637e-6
x76 = -1.81310785380541e-5
x77 = -4.55499942069301e-6
x78 = -0.000161068482534478
x79 = -1.3338912288759e-5
x80 = -7.46468469963582e-5
x81 = -2.02788540883118e-6
x82 = -4.24066468576439e-6
x83 = -0.000654389696484705
x84 = -1.35835631474117e-6
x85 = -4.60236322280169e-6
x86 = -0.000286292035639011
x87 = -1.42217740016186e-6
x88 = -1.05753231709654e-6
x89 = -2.75533092837466e-6
x90 = -1.49060436838806e-6
x91 = -5.47232478931208e-5
x92 = -1.65342583540914e-6
x93 = -3.60103987884404e-6
x94 = -3.21359477151646e-5
x95 = -1.64314975802239e-6
x96 = -2.15592434927727e-5
x97 = -2.5854894939071e-6
x98 = -1.19069705878763e-6
x99 = -2.28973691039074e-6
x99 = -2.28973691039074e-6
Gráfico
x^4/(x^3-1)=0 la ecuación
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