Sr Examen

Otras calculadoras

sqrt(x+y)-sqrt(x-y)=12 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
  _______     _______     
\/ x + y  - \/ x - y  = 12
$$- \sqrt{x - y} + \sqrt{x + y} = 12$$
Gráfica
Respuesta rápida [src]
            2        2                   
          im (y)   re (y)   I*im(y)*re(y)
x1 = 36 - ------ + ------ + -------------
           144      144           72     
$$x_{1} = \frac{\left(\operatorname{re}{\left(y\right)}\right)^{2}}{144} + \frac{i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}}{72} - \frac{\left(\operatorname{im}{\left(y\right)}\right)^{2}}{144} + 36$$
x1 = re(y)^2/144 + i*re(y)*im(y)/72 - im(y)^2/144 + 36
Suma y producto de raíces [src]
suma
       2        2                   
     im (y)   re (y)   I*im(y)*re(y)
36 - ------ + ------ + -------------
      144      144           72     
$$\frac{\left(\operatorname{re}{\left(y\right)}\right)^{2}}{144} + \frac{i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}}{72} - \frac{\left(\operatorname{im}{\left(y\right)}\right)^{2}}{144} + 36$$
=
       2        2                   
     im (y)   re (y)   I*im(y)*re(y)
36 - ------ + ------ + -------------
      144      144           72     
$$\frac{\left(\operatorname{re}{\left(y\right)}\right)^{2}}{144} + \frac{i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}}{72} - \frac{\left(\operatorname{im}{\left(y\right)}\right)^{2}}{144} + 36$$
producto
       2        2                   
     im (y)   re (y)   I*im(y)*re(y)
36 - ------ + ------ + -------------
      144      144           72     
$$\frac{\left(\operatorname{re}{\left(y\right)}\right)^{2}}{144} + \frac{i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}}{72} - \frac{\left(\operatorname{im}{\left(y\right)}\right)^{2}}{144} + 36$$
=
       2        2                   
     im (y)   re (y)   I*im(y)*re(y)
36 - ------ + ------ + -------------
      144      144           72     
$$\frac{\left(\operatorname{re}{\left(y\right)}\right)^{2}}{144} + \frac{i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}}{72} - \frac{\left(\operatorname{im}{\left(y\right)}\right)^{2}}{144} + 36$$
36 - im(y)^2/144 + re(y)^2/144 + i*im(y)*re(y)/72