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-2*x*(4*x^2+13)*exp(-x^2)+8*x*exp(-x^2)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                    2          2    
     /   2     \  -x         -x     
-2*x*\4*x  + 13/*e    + 8*x*e    = 0
$$8 x e^{- x^{2}} + - 2 x \left(4 x^{2} + 13\right) e^{- x^{2}} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -3*I
x2 = ----
      2  
$$x_{2} = - \frac{3 i}{2}$$
     3*I
x3 = ---
      2 
$$x_{3} = \frac{3 i}{2}$$
x3 = 3*i/2
Suma y producto de raíces [src]
suma
  3*I   3*I
- --- + ---
   2     2 
$$- \frac{3 i}{2} + \frac{3 i}{2}$$
=
0
$$0$$
producto
  -3*I 3*I
0*----*---
   2    2 
$$\frac{3 i}{2} \cdot 0 \left(- \frac{3 i}{2}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 30.5847962594468
x2 = 70.3945911621824
x3 = 38.5151325201661
x4 = 58.4243247795157
x5 = -84.1168264152783
x6 = 56.4305101919052
x7 = 100.254986724262
x8 = 20.7479252212086
x9 = 22.7037867048744
x10 = -56.1751417345857
x11 = 16.8678135483263
x12 = 50.4520099425851
x13 = 74.3868114102925
x14 = -96.1022341886953
x15 = 24.666797071924
x16 = -78.1258040740673
x17 = -90.1090442595107
x18 = 64.408073006087
x19 = 94.3578046438986
x20 = -72.1362754768569
x21 = -58.1691138861206
x22 = -74.1325966589073
x23 = -32.3058647046247
x24 = 11.2127060861634
x25 = -64.1532851346022
x26 = -10.9550873280554
x27 = -82.1196731982395
x28 = -22.4433881350509
x29 = 72.3905938140153
x30 = 9.42879835750971
x31 = -7.52997393483488
x32 = 6.3217196979087
x33 = -36.2720547629273
x34 = -46.2131127916038
x35 = -20.4870808419519
x36 = -6.13607980406394
x37 = -34.287973437148
x38 = 32.5641701139221
x39 = 54.4371501801135
x40 = -44.2227689157467
x41 = -30.3261180876474
x42 = 18.8014866335576
x43 = -24.4068536799381
x44 = 46.4694289775292
x45 = 62.4131430744065
x46 = -14.6906430136652
x47 = 68.3988222992313
x48 = -70.140164118047
x49 = -18.5402496717137
x50 = -68.1442810478391
x51 = 92.3601399254843
x52 = -94.1044073190407
x53 = -9.1785897901693
x54 = 84.3705889218544
x55 = 7.76159447218264
x56 = 13.062319188767
x57 = -80.1226621134724
x58 = 52.4442967034105
x59 = -54.1816146930944
x60 = 98.2550903675116
x61 = 40.5020135867943
x62 = 48.4603599905825
x63 = 78.3798256630599
x64 = 88.3651279154064
x65 = 66.4033083370114
x66 = 42.4901294026545
x67 = -12.8018650178119
x68 = 34.5459311705262
x69 = 60.4185488488594
x70 = 26.635356859688
x71 = -50.1961086016223
x72 = -42.2333399663059
x73 = 0.0
x74 = -88.1115205598228
x75 = -52.1885838936906
x76 = 36.5296886645157
x77 = 80.3765935196083
x78 = 82.3735183244415
x79 = -28.3492324819603
x80 = -86.1141118687396
x81 = -48.2042578970863
x82 = -92.1066755477876
x83 = 76.3832270776997
x84 = 86.3677951903345
x85 = -16.6063307607381
x86 = -40.2449621751094
x87 = 96.3555658276817
x88 = -60.1634868011491
x89 = -38.2578001703172
x90 = 90.3625787060524
x91 = -98.0051040631509
x92 = -76.1291111369267
x93 = -66.1486469621793
x94 = -62.1582218300766
x95 = 14.9520199619643
x96 = -100.00499595307
x97 = 44.4793137659483
x98 = 28.6083090207306
x99 = -26.3758573024419
x99 = -26.3758573024419