Sr Examen

Lang:

atan(x^2-2*y) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Ha introducido [src]

    / 2      \    
atan\x  - 2*y/ = 0

\operatorname{atan}{\left(x^{2} - 2 y \right)} = 0

Simplificar

Gráfica

Respuesta rápida [src]

       2        2                   
     re (x)   im (x)                
y1 = ------ - ------ + I*im(x)*re(x)
       2        2

y_{1} = \frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}

y1 = re(x)^2/2 + i*re(x)*im(x) - im(x)^2/2

Suma y producto de raíces [src]

suma

  2        2                   
re (x)   im (x)                
------ - ------ + I*im(x)*re(x)
  2        2

\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}

  2        2                   
re (x)   im (x)                
------ - ------ + I*im(x)*re(x)
  2        2

\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}

producto

  2        2                   
re (x)   im (x)                
------ - ------ + I*im(x)*re(x)
  2        2

\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}

  2        2                   
re (x)   im (x)                
------ - ------ + I*im(x)*re(x)
  2        2

\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}

re(x)^2/2 - im(x)^2/2 + i*im(x)*re(x)