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(x-1)^sqrt(x-1)=(x-1)^((x+1)/2) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                          x + 1
         _______          -----
       \/ x - 1             2  
(x - 1)          = (x - 1)     
$$\left(x - 1\right)^{\sqrt{x - 1}} = \left(x - 1\right)^{\frac{x + 1}{2}}$$
Gráfica
Suma y producto de raíces [src]
suma
2 + 1 - 2*I + 1 + 2*I
$$\left(2 + \left(1 - 2 i\right)\right) + \left(1 + 2 i\right)$$
=
4
$$4$$
producto
2*(1 - 2*I)*(1 + 2*I)
$$2 \left(1 - 2 i\right) \left(1 + 2 i\right)$$
=
10
$$10$$
10
Respuesta rápida [src]
x1 = 2
$$x_{1} = 2$$
x2 = 1 - 2*I
$$x_{2} = 1 - 2 i$$
x3 = 1 + 2*I
$$x_{3} = 1 + 2 i$$
x3 = 1 + 2*i
Respuesta numérica [src]
x1 = -78.5944069479582 + 0.306058694044301*i
x2 = -97.6034048531932 + 0.240947031796786*i
x3 = -95.6426897571599 - 0.038699782580428*i
x4 = -6.29254737267876 + 1.45572673264083*i
x5 = -89.0457176626759 - 1.05003330136621*i
x6 = -90.0143086481641 - 1.59513035990888*i
x7 = -97.6941691199688 - 1.76846878675478*i
x8 = -93.4335553334941 + 0.418110449973291*i
x9 = -107.494433000773 + 0.633804991779281*i
x10 = -88.0877280613905 - 0.0667060828288281*i
x11 = -3.41979860571506 + 2.2551579297587*i
x12 = -105.381802106705 + 1.32925431958213*i
x13 = -77.8698265792677 + 0.432106379727103*i
x14 = -87.9317671129224 + 0.916410046078961*i
x15 = -79.3094570992946 - 0.799703085437855*i
x16 = 1.0 + 2.0*i
x17 = -8.75689181888885 + 0.437352236063834*i
x18 = 2.0
x19 = -106.32059700379 - 0.802642736636288*i
x20 = -105.64478952733 + 1.79332532220396*i
x21 = -107.190829984126 - 1.07020695391945*i
x22 = -86.9539156271218 - 0.369585938378397*i
x22 = -86.9539156271218 - 0.369585938378397*i