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x^x=x

x^x=x la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
 x    
x  = x
$$x^{x} = x$$
Gráfica
Suma y producto de raíces [src]
suma
-1 + 1
$$-1 + 1$$
=
0
$$0$$
producto
-1
$$-1$$
=
-1
$$-1$$
-1
Respuesta rápida [src]
x1 = -1
$$x_{1} = -1$$
x2 = 1
$$x_{2} = 1$$
x2 = 1
Respuesta numérica [src]
x1 = 1.00000007591379
x2 = 1.00000003918802
x3 = 1.00000002793003
x4 = 1.00000002219239
x5 = 1.00000002077015
x6 = 1.00000008234682
x7 = 1.00000004083403
x8 = 1.00000004457902
x9 = 0.999999614126336
x10 = 1.00000053325694 - 2.52189105913114e-8*i
x11 = 1.00000004262441
x12 = 1.00000005169033
x13 = 1.00000002641252
x14 = 1.00000003626444
x15 = 1.00000002033574
x16 = 1.00000004672155
x17 = 1.00000005459341
x18 = 1.00000002325394
x19 = 1.00000006565663
x20 = 1.00000003056411
x21 = 1.00000002571397
x22 = 1.00000002715008
x23 = 1.00000020266873 - 6.59198540499746e-16*i
x24 = 1.00000001991912
x25 = 1.00000016763264 - 7.67502116463478e-19*i
x26 = 1.00000002169715
x27 = 1.00000002875611
x28 = 1.00000034871124 - 1.34619170621699e-10*i
x29 = 1.00000009915463
x30 = 1.00000002963256
x31 = 1.00000004908047
x32 = 1.00000025629723 - 3.80305245549926e-13*i
x33 = 1.0000000578421
x34 = 1.00000006150204
x35 = 1.00000014293953
x36 = 1.00000002122353
x37 = 1.00000003374684
x38 = 1.00000003496037
x39 = 1.00000002382374
x40 = 0.999999919564068 - 5.48313895770264e-7*i
x41 = 1.00000002505142
x42 = 1.00000003155615
x43 = 1.00000011042693
x44 = 1.00000012459462
x45 = 1.00000002271077
x46 = 1.00000003766958
x47 = 1.00000002442216
x48 = 1.00000007041346
x49 = 1.00000003261475
x50 = 1.00000008997194
x50 = 1.00000008997194
Gráfico
x^x=x la ecuación