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4x/(8x^3+1)+1/(16x^4-4x^2-4x-1)=2/(4x^2+2x-1) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
  4*x                1                    2       
-------- + ---------------------- = --------------
   3           4      2                2          
8*x  + 1   16*x  - 4*x  - 4*x - 1   4*x  + 2*x - 1
4x8x3+1+1(4x+(16x44x2))1=2(4x2+2x)1\frac{4 x}{8 x^{3} + 1} + \frac{1}{\left(- 4 x + \left(16 x^{4} - 4 x^{2}\right)\right) - 1} = \frac{2}{\left(4 x^{2} + 2 x\right) - 1}
Gráfica
0-40000-30000-20000-10000100002000030000400002-2
Respuesta rápida [src]
x1 = -0.416672111535734
x1=0.416672111535734x_{1} = -0.416672111535734
x2 = -0.0817775183211715
x2=0.0817775183211715x_{2} = -0.0817775183211715
x3 = -0.350438204502421 - 0.513377032289997*I
x3=0.3504382045024210.513377032289997ix_{3} = -0.350438204502421 - 0.513377032289997 i
x4 = -0.350438204502421 + 0.513377032289997*I
x4=0.350438204502421+0.513377032289997ix_{4} = -0.350438204502421 + 0.513377032289997 i
x5 = 0.724663019430873 - 0.261321746396801*I
x5=0.7246630194308730.261321746396801ix_{5} = 0.724663019430873 - 0.261321746396801 i
x6 = 0.724663019430873 + 0.261321746396801*I
x6=0.724663019430873+0.261321746396801ix_{6} = 0.724663019430873 + 0.261321746396801 i
x6 = 0.724663019430873 + 0.261321746396801*i
Suma y producto de raíces [src]
suma
-0.416672111535734 - 0.0817775183211715 + -0.350438204502421 - 0.513377032289997*I + -0.350438204502421 + 0.513377032289997*I + 0.724663019430873 - 0.261321746396801*I + 0.724663019430873 + 0.261321746396801*I
((0.7246630194308730.261321746396801i)+(((0.4166721115357340.0817775183211715)+(0.3504382045024210.513377032289997i))+(0.350438204502421+0.513377032289997i)))+(0.724663019430873+0.261321746396801i)\left(\left(0.724663019430873 - 0.261321746396801 i\right) + \left(\left(\left(-0.416672111535734 - 0.0817775183211715\right) + \left(-0.350438204502421 - 0.513377032289997 i\right)\right) + \left(-0.350438204502421 + 0.513377032289997 i\right)\right)\right) + \left(0.724663019430873 + 0.261321746396801 i\right)
=
0.250000000000000
0.250.25
producto
-0.416672111535734*-0.0817775183211715*(-0.350438204502421 - 0.513377032289997*I)*(-0.350438204502421 + 0.513377032289997*I)*(0.724663019430873 - 0.261321746396801*I)*(0.724663019430873 + 0.261321746396801*I)
(0.0817775183211715)0.416672111535734(0.3504382045024210.513377032289997i)(0.350438204502421+0.513377032289997i)(0.7246630194308730.261321746396801i)(0.724663019430873+0.261321746396801i)- \left(-0.0817775183211715\right) 0.416672111535734 \left(-0.350438204502421 - 0.513377032289997 i\right) \left(-0.350438204502421 + 0.513377032289997 i\right) \left(0.724663019430873 - 0.261321746396801 i\right) \left(0.724663019430873 + 0.261321746396801 i\right)
=
0.00781250000000000
0.00781250.0078125
0.00781250000000000
Respuesta numérica [src]
x1 = 24751.5798801
x2 = 26446.8042186394
x3 = -39665.9062586883
x4 = -37123.0811304561
x5 = 42551.3743582422
x6 = 22208.7391033173
x7 = 34922.9036881561
x8 = -31189.8143355038
x9 = -16780.3354295746
x10 = -26951.7561939742
x11 = 15427.78907538
x12 = -21866.0665488438
x13 = -17627.9617750308
x14 = 23903.9669139945
x15 = 10341.9900302745
x16 = 25599.192298362
x17 = 34075.294970441
x18 = 12037.2706572929
x19 = 40856.1596709489
x20 = 36618.1205232338
x21 = 35770.5122011902
x22 = -8303.79224756514
x23 = -33732.6446152901
x24 = -35427.8633560432
x25 = 17123.0345056065
x26 = -40513.5142785854
x27 = 29837.2477287011
x28 = -30342.2035635276
x29 = -37970.6896968968
x30 = -24408.9148672408
x31 = -28646.9808139401
x32 = 41703.7670758142
x33 = -36275.4723553195
x34 = 17970.6548120489
x35 = -6608.30653223331
x36 = 16275.4126691257
x37 = -13389.7998500615
x38 = -27799.3687599631
x39 = 20513.5083065173
x40 = 32380.0768593493
x41 = -14237.4394271938
x42 = 21361.1241196166
x43 = 28989.6374071855
x44 = 23056.3533433296
x45 = 13732.5354611843
x46 = -0.0817775183211715
x47 = -11694.5039826794
x48 = 18818.273778419
x49 = -25256.5293110576
x50 = -21018.4484285495
x51 = 6103.6569600981
x52 = -32885.0348342807
x53 = 8646.68612201234
x54 = 30684.8577284356
x55 = 40008.5521361217
x56 = 27294.415684936
x57 = -9999.1755016594
x58 = -23561.2996547205
x59 = 6951.34641551765
x60 = -7456.06704497963
x61 = -9151.49280462636
x62 = -18475.5859758864
x63 = 11189.6327020359
x64 = -26104.1430640604
x65 = -20170.8290787097
x66 = 7799.02181593022
x67 = -10846.8448547682
x68 = -41361.1221391274
x69 = 33227.6860330167
x70 = 12884.9046989538
x71 = -19323.2083289266
x72 = -29494.5924016435
x73 = -38818.2980686995
x74 = 9494.34161390611
x75 = 39160.9444631796
x76 = 37465.7286667844
x77 = 28142.0267362334
x78 = 38313.3366432739
x79 = -15085.0747632834
x80 = -34580.2541156227
x81 = -22713.683583465
x82 = -15932.7065758266
x83 = 14580.163450426
x84 = 31532.4674312068
x85 = -12542.1551065307
x86 = -32037.4247495597
x87 = -42208.7298501664
x88 = 19665.891564695
x88 = 19665.891564695