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z=arctg*sqrt(x*y)+E^(x-y) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
              _____    x - y
z = atan(x)*\/ x*y  + E
z=ex−y+xyatan⁡(x)z = e^{x - y} + \sqrt{x y} \operatorname{atan}{\left(x \right)}
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
  / -re(y) + re(x)                         /  _____        \\                        -re(y) + re(x)     /  _____        \
I*\e              *sin(-im(y) + im(x)) + im\\/ x*y *atan(x)// + cos(-im(y) + im(x))*e               + re\\/ x*y *atan(x)/
i(ere⁡(x)−re⁡(y)sin⁡(im⁡(x)−im⁡(y))+im⁡(xyatan⁡(x)))+ere⁡(x)−re⁡(y)cos⁡(im⁡(x)−im⁡(y))+re⁡(xyatan⁡(x))i \left(e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{im}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}\right) + e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{re}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)} 
=
  / -re(y) + re(x)                         /  _____        \\                        -re(y) + re(x)     /  _____        \
I*\e              *sin(-im(y) + im(x)) + im\\/ x*y *atan(x)// + cos(-im(y) + im(x))*e               + re\\/ x*y *atan(x)/
i(ere⁡(x)−re⁡(y)sin⁡(im⁡(x)−im⁡(y))+im⁡(xyatan⁡(x)))+ere⁡(x)−re⁡(y)cos⁡(im⁡(x)−im⁡(y))+re⁡(xyatan⁡(x))i \left(e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{im}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}\right) + e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{re}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)} 
producto
  / -re(y) + re(x)                         /  _____        \\                        -re(y) + re(x)     /  _____        \
I*\e              *sin(-im(y) + im(x)) + im\\/ x*y *atan(x)// + cos(-im(y) + im(x))*e               + re\\/ x*y *atan(x)/
i(ere⁡(x)−re⁡(y)sin⁡(im⁡(x)−im⁡(y))+im⁡(xyatan⁡(x)))+ere⁡(x)−re⁡(y)cos⁡(im⁡(x)−im⁡(y))+re⁡(xyatan⁡(x))i \left(e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{im}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}\right) + e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{re}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)} 
=
  / -re(y) + re(x)                         /  _____        \\                        -re(y) + re(x)     /  _____        \
I*\e              *sin(-im(y) + im(x)) + im\\/ x*y *atan(x)// + cos(-im(y) + im(x))*e               + re\\/ x*y *atan(x)/
i(ere⁡(x)−re⁡(y)sin⁡(im⁡(x)−im⁡(y))+im⁡(xyatan⁡(x)))+ere⁡(x)−re⁡(y)cos⁡(im⁡(x)−im⁡(y))+re⁡(xyatan⁡(x))i \left(e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{im}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}\right) + e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{re}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)} 
i*(exp(-re(y) + re(x))*sin(-im(y) + im(x)) + im(sqrt(x*y)*atan(x))) + cos(-im(y) + im(x))*exp(-re(y) + re(x)) + re(sqrt(x*y)*atan(x))
Respuesta rápida [src] 
       / -re(y) + re(x)                         /  _____        \\                        -re(y) + re(x)     /  _____        \
z1 = I*\e              *sin(-im(y) + im(x)) + im\\/ x*y *atan(x)// + cos(-im(y) + im(x))*e               + re\\/ x*y *atan(x)/
z1=i(ere⁡(x)−re⁡(y)sin⁡(im⁡(x)−im⁡(y))+im⁡(xyatan⁡(x)))+ere⁡(x)−re⁡(y)cos⁡(im⁡(x)−im⁡(y))+re⁡(xyatan⁡(x))z_{1} = i \left(e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{im}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}\right) + e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{re}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)} 
z1 = i*(exp(re(x) - re(y))*sin(im(x) - im(y)) + im(sqrt(x*y)*atan(x))) + exp(re(x) - re(y))*cos(im(x) - im(y)) + re(sqrt(x*y)*atan(x))
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