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2^(x*(1-x/2))*(-1+(-1+x)^2*log(2))*log(2)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   /    x\                                   
 x*|1 - -|                                   
   \    2/ /             2       \           
2         *\-1 + (-1 + x) *log(2)/*log(2) = 0
$$2^{x \left(- \frac{x}{2} + 1\right)} \left(\left(x - 1\right)^{2} \log{\left(2 \right)} - 1\right) \log{\left(2 \right)} = 0$$
Gráfica
Respuesta rápida [src]
             1     
x1 = 1 - ----------
           ________
         \/ log(2) 
$$x_{1} = 1 - \frac{1}{\sqrt{\log{\left(2 \right)}}}$$
             1     
x2 = 1 + ----------
           ________
         \/ log(2) 
$$x_{2} = 1 + \frac{1}{\sqrt{\log{\left(2 \right)}}}$$
x2 = 1 + 1/sqrt(log(2))
Suma y producto de raíces [src]
suma
        1                1     
1 - ---------- + 1 + ----------
      ________         ________
    \/ log(2)        \/ log(2) 
$$\left(1 - \frac{1}{\sqrt{\log{\left(2 \right)}}}\right) + \left(1 + \frac{1}{\sqrt{\log{\left(2 \right)}}}\right)$$
=
2
$$2$$
producto
/        1     \ /        1     \
|1 - ----------|*|1 + ----------|
|      ________| |      ________|
\    \/ log(2) / \    \/ log(2) /
$$\left(1 - \frac{1}{\sqrt{\log{\left(2 \right)}}}\right) \left(1 + \frac{1}{\sqrt{\log{\left(2 \right)}}}\right)$$
=
      1   
1 - ------
    log(2)
$$1 - \frac{1}{\log{\left(2 \right)}}$$
1 - 1/log(2)
Respuesta numérica [src]
x1 = -68.4096500521471
x2 = -40.6869834420681
x3 = 76.6389859173756
x4 = -32.8516061441877
x5 = 31.2410251898299
x6 = 25.489425580225
x7 = -34.8034692781607
x8 = 18.1009230791402
x9 = 66.6983150962139
x10 = -88.3178715084125
x11 = -98.2858360262066
x12 = -54.5133031183301
x13 = 44.9242342609366
x14 = 52.8198904758202
x15 = -12.4407449886054
x16 = -90.3109032443794
x17 = 27.3940123167338
x18 = -14.09878887589
x19 = -9.53755719750663
x20 = -17.63031850412
x21 = 39.0314047710551
x22 = 50.8428372197428
x23 = 70.6725409952497
x24 = 56.7789291705533
x25 = -36.7604849378688
x26 = -30.9058793643501
x27 = 54.7986487435314
x28 = 2.20112240878645
x29 = 19.8993146604067
x30 = 29.3120926171344
x31 = -92.3042335796673
x32 = -42.6553149837025
x33 = 48.867702282873
x34 = -23.215465558049
x35 = -28.967536364301
x36 = 72.6607320133109
x37 = -72.3872932591032
x38 = 80.6194229957823
x39 = 35.1238944118703
x40 = 98.5512237042513
x41 = -50.5532784083212
x42 = 14.6854134956253
x43 = -82.3407825529032
x44 = -66.4218231288431
x45 = 58.7605741181788
x46 = 84.601730652675
x47 = 62.7274287159818
x48 = 82.6103601541225
x49 = 40.9921023138881
x50 = -44.6264364178433
x51 = 21.7362365093971
x52 = -76.3672467501898
x53 = -96.2917165084938
x54 = -10.9000047204958
x55 = -56.4954027708922
x56 = 94.5641127664724
x57 = -78.357980890354
x58 = -15.8365756697979
x59 = -46.5999939485709
x60 = -84.3327876898189
x61 = 11.7315011641648
x62 = 23.6018796185517
x63 = -25.1198999969152
x64 = -74.3770041654248
x65 = -80.3491703987679
x66 = 42.9565489799087
x67 = 90.5781525687582
x68 = -62.448471867501
x69 = 92.5709794159078
x70 = 10.5978707133129
x71 = -58.4787066747266
x72 = 74.6495638884182
x73 = -60.4630972769894
x74 = -19.4644832057768
x75 = 64.7124152575073
x76 = 33.1788070920635
x77 = 37.075079429477
x78 = 78.6289526014399
x79 = -86.3251588567241
x80 = -52.5325429058035
x81 = -21.3286124715291
x82 = 88.5856531856968
x83 = 68.6850475071837
x84 = -94.2978437444891
x85 = 96.5575334093254
x86 = 46.8947360284909
x87 = -27.0381799725179
x88 = -0.20112240878645
x89 = -100.280187700722
x90 = 16.3555763593229
x91 = -64.4347403012446
x92 = -70.3981586407211
x93 = 100.545167424744
x94 = 13.1252633056429
x95 = 86.5935041804999
x96 = 60.7434469641938
x97 = -38.7218676901776
x98 = -48.5756912814002
x98 = -48.5756912814002