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Cx-1^x*(x-1)=30 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
       x             
c*x - 1 *(x - 1) = 30
−1x(x−1)+cx=30- 1^{x} \left(x - 1\right) + c x = 30
Simplificar
Resolución de la ecuación paramétrica
Se da la ecuación con parámetro:
cx−x+1=30c x - x + 1 = 30
Коэффициент при x равен
c−1c - 1
entonces son posibles los casos para c :
c<1c < 1
c=1c = 1
Consideremos todos los casos con detalles:
Con
c<1c < 1
la ecuación será
−x−29=0- x - 29 = 0
su solución
x=−29x = -29
Con
c=1c = 1
la ecuación será
−29=0-29 = 0
su solución
no hay soluciones
Gráfica
Respuesta rápida [src] 
        29*(-1 + re(c))             29*I*im(c)      
x1 = ---------------------- - ----------------------
                 2     2                  2     2   
     (-1 + re(c))  + im (c)   (-1 + re(c))  + im (c)
x1=29(re⁡(c)−1)(re⁡(c)−1)2+(im⁡(c))2−29iim⁡(c)(re⁡(c)−1)2+(im⁡(c))2x_{1} = \frac{29 \left(\operatorname{re}{\left(c\right)} - 1\right)}{\left(\operatorname{re}{\left(c\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c\right)}\right)^{2}} - \frac{29 i \operatorname{im}{\left(c\right)}}{\left(\operatorname{re}{\left(c\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c\right)}\right)^{2}} 
x1 = 29*(re(c) - 1)/((re(c) - 1)^2 + im(c)^2) - 29*i*im(c)/((re(c) - 1)^2 + im(c)^2)
Suma y producto de raíces [src] 
suma
   29*(-1 + re(c))             29*I*im(c)      
---------------------- - ----------------------
            2     2                  2     2   
(-1 + re(c))  + im (c)   (-1 + re(c))  + im (c)
29(re⁡(c)−1)(re⁡(c)−1)2+(im⁡(c))2−29iim⁡(c)(re⁡(c)−1)2+(im⁡(c))2\frac{29 \left(\operatorname{re}{\left(c\right)} - 1\right)}{\left(\operatorname{re}{\left(c\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c\right)}\right)^{2}} - \frac{29 i \operatorname{im}{\left(c\right)}}{\left(\operatorname{re}{\left(c\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c\right)}\right)^{2}} 
=
   29*(-1 + re(c))             29*I*im(c)      
---------------------- - ----------------------
            2     2                  2     2   
(-1 + re(c))  + im (c)   (-1 + re(c))  + im (c)
29(re⁡(c)−1)(re⁡(c)−1)2+(im⁡(c))2−29iim⁡(c)(re⁡(c)−1)2+(im⁡(c))2\frac{29 \left(\operatorname{re}{\left(c\right)} - 1\right)}{\left(\operatorname{re}{\left(c\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c\right)}\right)^{2}} - \frac{29 i \operatorname{im}{\left(c\right)}}{\left(\operatorname{re}{\left(c\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c\right)}\right)^{2}} 
producto
   29*(-1 + re(c))             29*I*im(c)      
---------------------- - ----------------------
            2     2                  2     2   
(-1 + re(c))  + im (c)   (-1 + re(c))  + im (c)
29(re⁡(c)−1)(re⁡(c)−1)2+(im⁡(c))2−29iim⁡(c)(re⁡(c)−1)2+(im⁡(c))2\frac{29 \left(\operatorname{re}{\left(c\right)} - 1\right)}{\left(\operatorname{re}{\left(c\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c\right)}\right)^{2}} - \frac{29 i \operatorname{im}{\left(c\right)}}{\left(\operatorname{re}{\left(c\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c\right)}\right)^{2}} 
=
29*(-1 - I*im(c) + re(c))
-------------------------
              2     2    
  (-1 + re(c))  + im (c)
29(re⁡(c)−iim⁡(c)−1)(re⁡(c)−1)2+(im⁡(c))2\frac{29 \left(\operatorname{re}{\left(c\right)} - i \operatorname{im}{\left(c\right)} - 1\right)}{\left(\operatorname{re}{\left(c\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c\right)}\right)^{2}} 
29*(-1 - i*im(c) + re(c))/((-1 + re(c))^2 + im(c)^2)
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