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4*(-2+sqrt(5))^(x-15)=(2/(2+sqrt(5)))^(x-15) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
              x - 15              x - 15
  /       ___\         /    2    \      
4*\-2 + \/ 5 /       = |---------|      
                       |      ___|      
                       \2 + \/ 5 /      
$$4 \left(-2 + \sqrt{5}\right)^{x - 15} = \left(\frac{2}{2 + \sqrt{5}}\right)^{x - 15}$$
Gráfica
Respuesta rápida [src]
x1 = 17
$$x_{1} = 17$$
x1 = 17
Suma y producto de raíces [src]
suma
17
$$17$$
=
17
$$17$$
producto
17
$$17$$
=
17
$$17$$
17
Respuesta numérica [src]
x1 = 122.169534605676
x2 = 76.1695346065226
x3 = 80.1695346057289
x4 = 94.169534605676
x5 = 102.169534605676
x6 = 56.1704227232703
x7 = 86.1695346056768
x8 = 72.1695346192219
x9 = 58.1697565657642
x10 = 82.1695346056892
x11 = 17.0
x12 = 100.169534605676
x13 = 54.1730915229839
x14 = 112.169534605676
x15 = 68.1695348224113
x16 = 118.169534605676
x17 = 66.1695354726177
x18 = 74.1695346090625
x19 = 106.169534605676
x20 = 114.169534605676
x21 = 108.169534605676
x22 = 116.169534605676
x23 = 84.1695346056793
x24 = 92.169534605676
x25 = 52.1838341434584
x26 = 120.169534605676
x27 = 126.169534605676
x28 = 62.1695484768286
x29 = 104.169534605676
x30 = 60.1695900913688
x31 = 110.169534605676
x32 = 90.169534605676
x33 = 78.1695346058876
x34 = 70.1695346598598
x35 = 128.169534605676
x36 = 17.0
x37 = 96.169534605676
x38 = 88.1695346056762
x39 = 124.169534605676
x40 = 64.1695380734472
x41 = 98.169534605676
x41 = 98.169534605676