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log(y-2)=Const+log(x)-log(x+1/2) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
log(y - 2) = c + log(x) - log(x + 1/2)
log⁡(y−2)=(c+log⁡(x))−log⁡(x+12)\log{\left(y - 2 \right)} = \left(c + \log{\left(x \right)}\right) - \log{\left(x + \frac{1}{2} \right)}
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
  /           /     re(y)\ /   re(c)                   \                                                                                  \             /     re(y)\ /                        re(c)\                                                                                 
  |           |-1 + -----|*\- e     *sin(im(c)) + im(y)/                             /                        re(c)\                      |             |-1 + -----|*\2 - re(y) + cos(im(c))*e     /                             /   re(c)                   \                       
  |           \       2  /                                                           \2 - re(y) + cos(im(c))*e     /*im(y)                |             \       2  /                                                             \- e     *sin(im(c)) + im(y)/*im(y)                 
I*|---------------------------------------------------------------- + --------------------------------------------------------------------| + ---------------------------------------------------------------- - --------------------------------------------------------------------
  |                            2                                  2     /                            2                                  2\|                               2                                  2     /                            2                                  2\
  |/          re(c)           \    /                        re(c)\      |/          re(c)           \    /                        re(c)\ ||   /          re(c)           \    /                        re(c)\      |/          re(c)           \    /                        re(c)\ |
  \\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     /    2*\\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     / //   \-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     /    2*\\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     / /
−(−ere⁡(c)sin⁡(im⁡(c))+im⁡(y))im⁡(y)2((ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2)+i((−ere⁡(c)sin⁡(im⁡(c))+im⁡(y))(re⁡(y)2−1)(ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)im⁡(y)2((ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2))+(re⁡(y)2−1)(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)(ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2- \frac{\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \operatorname{im}{\left(y\right)}\right) \operatorname{im}{\left(y\right)}}{2 \left(\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}\right)} + i \left(\frac{\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \operatorname{im}{\left(y\right)}\right) \left(\frac{\operatorname{re}{\left(y\right)}}{2} - 1\right)}{\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}} + \frac{\left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right) \operatorname{im}{\left(y\right)}}{2 \left(\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}\right)}\right) + \frac{\left(\frac{\operatorname{re}{\left(y\right)}}{2} - 1\right) \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)}{\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}} 
=
  /           /     re(y)\ /   re(c)                   \                                                                                  \             /     re(y)\ /                        re(c)\                                                                                 
  |           |-1 + -----|*\- e     *sin(im(c)) + im(y)/                             /                        re(c)\                      |             |-1 + -----|*\2 - re(y) + cos(im(c))*e     /                             /   re(c)                   \                       
  |           \       2  /                                                           \2 - re(y) + cos(im(c))*e     /*im(y)                |             \       2  /                                                             \- e     *sin(im(c)) + im(y)/*im(y)                 
I*|---------------------------------------------------------------- + --------------------------------------------------------------------| + ---------------------------------------------------------------- - --------------------------------------------------------------------
  |                            2                                  2     /                            2                                  2\|                               2                                  2     /                            2                                  2\
  |/          re(c)           \    /                        re(c)\      |/          re(c)           \    /                        re(c)\ ||   /          re(c)           \    /                        re(c)\      |/          re(c)           \    /                        re(c)\ |
  \\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     /    2*\\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     / //   \-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     /    2*\\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     / /
−(−ere⁡(c)sin⁡(im⁡(c))+im⁡(y))im⁡(y)2((ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2)+i((−ere⁡(c)sin⁡(im⁡(c))+im⁡(y))(re⁡(y)2−1)(ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)im⁡(y)2((ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2))+(re⁡(y)2−1)(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)(ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2- \frac{\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \operatorname{im}{\left(y\right)}\right) \operatorname{im}{\left(y\right)}}{2 \left(\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}\right)} + i \left(\frac{\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \operatorname{im}{\left(y\right)}\right) \left(\frac{\operatorname{re}{\left(y\right)}}{2} - 1\right)}{\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}} + \frac{\left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right) \operatorname{im}{\left(y\right)}}{2 \left(\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}\right)}\right) + \frac{\left(\frac{\operatorname{re}{\left(y\right)}}{2} - 1\right) \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)}{\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}} 
producto
  /           /     re(y)\ /   re(c)                   \                                                                                  \             /     re(y)\ /                        re(c)\                                                                                 
  |           |-1 + -----|*\- e     *sin(im(c)) + im(y)/                             /                        re(c)\                      |             |-1 + -----|*\2 - re(y) + cos(im(c))*e     /                             /   re(c)                   \                       
  |           \       2  /                                                           \2 - re(y) + cos(im(c))*e     /*im(y)                |             \       2  /                                                             \- e     *sin(im(c)) + im(y)/*im(y)                 
I*|---------------------------------------------------------------- + --------------------------------------------------------------------| + ---------------------------------------------------------------- - --------------------------------------------------------------------
  |                            2                                  2     /                            2                                  2\|                               2                                  2     /                            2                                  2\
  |/          re(c)           \    /                        re(c)\      |/          re(c)           \    /                        re(c)\ ||   /          re(c)           \    /                        re(c)\      |/          re(c)           \    /                        re(c)\ |
  \\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     /    2*\\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     / //   \-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     /    2*\\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     / /
−(−ere⁡(c)sin⁡(im⁡(c))+im⁡(y))im⁡(y)2((ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2)+i((−ere⁡(c)sin⁡(im⁡(c))+im⁡(y))(re⁡(y)2−1)(ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)im⁡(y)2((ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2))+(re⁡(y)2−1)(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)(ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2- \frac{\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \operatorname{im}{\left(y\right)}\right) \operatorname{im}{\left(y\right)}}{2 \left(\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}\right)} + i \left(\frac{\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \operatorname{im}{\left(y\right)}\right) \left(\frac{\operatorname{re}{\left(y\right)}}{2} - 1\right)}{\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}} + \frac{\left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right) \operatorname{im}{\left(y\right)}}{2 \left(\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}\right)}\right) + \frac{\left(\frac{\operatorname{re}{\left(y\right)}}{2} - 1\right) \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)}{\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}} 
=
  /            /          re(c)           \   /                        re(c)\      \                /                        re(c)\   /          re(c)           \      
I*\(2 - re(y))*\-im(y) + e     *sin(im(c))/ + \2 - re(y) + cos(im(c))*e     /*im(y)/ + (-2 + re(y))*\2 - re(y) + cos(im(c))*e     / + \-im(y) + e     *sin(im(c))/*im(y)
------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                    /                            2                                  2\                                                  
                                                    |/          re(c)           \    /                        re(c)\ |                                                  
                                                  2*\\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     / /
i((2−re⁡(y))(ere⁡(c)sin⁡(im⁡(c))−im⁡(y))+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)im⁡(y))+(ere⁡(c)sin⁡(im⁡(c))−im⁡(y))im⁡(y)+(re⁡(y)−2)(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2((ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2)\frac{i \left(\left(2 - \operatorname{re}{\left(y\right)}\right) \left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right) + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right) \operatorname{im}{\left(y\right)}\right) + \left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right) \operatorname{im}{\left(y\right)} + \left(\operatorname{re}{\left(y\right)} - 2\right) \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)}{2 \left(\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}\right)} 
(i*((2 - re(y))*(-im(y) + exp(re(c))*sin(im(c))) + (2 - re(y) + cos(im(c))*exp(re(c)))*im(y)) + (-2 + re(y))*(2 - re(y) + cos(im(c))*exp(re(c))) + (-im(y) + exp(re(c))*sin(im(c)))*im(y))/(2*((-im(y) + exp(re(c))*sin(im(c)))^2 + (2 - re(y) + cos(im(c))*exp(re(c)))^2))
Respuesta rápida [src] 
       /           /     re(y)\ /   re(c)                   \                                                                                  \             /     re(y)\ /                        re(c)\                                                                                 
       |           |-1 + -----|*\- e     *sin(im(c)) + im(y)/                             /                        re(c)\                      |             |-1 + -----|*\2 - re(y) + cos(im(c))*e     /                             /   re(c)                   \                       
       |           \       2  /                                                           \2 - re(y) + cos(im(c))*e     /*im(y)                |             \       2  /                                                             \- e     *sin(im(c)) + im(y)/*im(y)                 
x1 = I*|---------------------------------------------------------------- + --------------------------------------------------------------------| + ---------------------------------------------------------------- - --------------------------------------------------------------------
       |                            2                                  2     /                            2                                  2\|                               2                                  2     /                            2                                  2\
       |/          re(c)           \    /                        re(c)\      |/          re(c)           \    /                        re(c)\ ||   /          re(c)           \    /                        re(c)\      |/          re(c)           \    /                        re(c)\ |
       \\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     /    2*\\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     / //   \-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     /    2*\\-im(y) + e     *sin(im(c))/  + \2 - re(y) + cos(im(c))*e     / /
x1=−(−ere⁡(c)sin⁡(im⁡(c))+im⁡(y))im⁡(y)2((ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2)+i((−ere⁡(c)sin⁡(im⁡(c))+im⁡(y))(re⁡(y)2−1)(ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)im⁡(y)2((ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2))+(re⁡(y)2−1)(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)(ere⁡(c)sin⁡(im⁡(c))−im⁡(y))2+(ere⁡(c)cos⁡(im⁡(c))−re⁡(y)+2)2x_{1} = - \frac{\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \operatorname{im}{\left(y\right)}\right) \operatorname{im}{\left(y\right)}}{2 \left(\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}\right)} + i \left(\frac{\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \operatorname{im}{\left(y\right)}\right) \left(\frac{\operatorname{re}{\left(y\right)}}{2} - 1\right)}{\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}} + \frac{\left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right) \operatorname{im}{\left(y\right)}}{2 \left(\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}\right)}\right) + \frac{\left(\frac{\operatorname{re}{\left(y\right)}}{2} - 1\right) \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)}{\left(e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \operatorname{re}{\left(y\right)} + 2\right)^{2}} 
x1 = -(-exp(re(c))*sin(im(c)) + im(y))*im(y)/(2*((exp(re(c))*sin(im(c)) - im(y))^2 + (exp(re(c))*cos(im(c)) - re(y) + 2)^2)) + i*((-exp(re(c))*sin(im(c)) + im(y))*(re(y)/2 - 1)/((exp(re(c))*sin(im(c)) - im(y))^2 + (exp(re(c))*cos(im(c)) - re(y) + 2)^2) + (exp(re(c))*cos(im(c)) - re(y) + 2)*im(y)/(2*((exp(re(c))*sin(im(c)) - im(y))^2 + (exp(re(c))*cos(im(c)) - re(y) + 2)^2))) + (re(y)/2 - 1)*(exp(re(c))*cos(im(c)) - re(y) + 2)/((exp(re(c))*sin(im(c)) - im(y))^2 + (exp(re(c))*cos(im(c)) - re(y) + 2)^2)
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