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sqrt(y)-2*x+6=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
  ___              
\/ y  - 2*x + 6 = 0
$$\left(- 2 x + \sqrt{y}\right) + 6 = 0$$
Gráfica
Respuesta rápida [src]
            _________________                                 _________________                         
         4 /   2        2        /atan2(im(y), re(y))\     4 /   2        2        /atan2(im(y), re(y))\
         \/  im (y) + re (y) *cos|-------------------|   I*\/  im (y) + re (y) *sin|-------------------|
                                 \         2         /                             \         2         /
x1 = 3 + --------------------------------------------- + -----------------------------------------------
                               2                                                2                       
$$x_{1} = \frac{i \sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{2} + 3$$
x1 = i*(re(y)^2 + im(y)^2)^(1/4)*sin(atan2(im(y, re(y))/2)/2 + (re(y)^2 + im(y)^2)^(1/4)*cos(atan2(im(y), re(y))/2)/2 + 3)
Suma y producto de raíces [src]
suma
       _________________                                 _________________                         
    4 /   2        2        /atan2(im(y), re(y))\     4 /   2        2        /atan2(im(y), re(y))\
    \/  im (y) + re (y) *cos|-------------------|   I*\/  im (y) + re (y) *sin|-------------------|
                            \         2         /                             \         2         /
3 + --------------------------------------------- + -----------------------------------------------
                          2                                                2                       
$$\frac{i \sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{2} + 3$$
=
       _________________                                 _________________                         
    4 /   2        2        /atan2(im(y), re(y))\     4 /   2        2        /atan2(im(y), re(y))\
    \/  im (y) + re (y) *cos|-------------------|   I*\/  im (y) + re (y) *sin|-------------------|
                            \         2         /                             \         2         /
3 + --------------------------------------------- + -----------------------------------------------
                          2                                                2                       
$$\frac{i \sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{2} + 3$$
producto
       _________________                                 _________________                         
    4 /   2        2        /atan2(im(y), re(y))\     4 /   2        2        /atan2(im(y), re(y))\
    \/  im (y) + re (y) *cos|-------------------|   I*\/  im (y) + re (y) *sin|-------------------|
                            \         2         /                             \         2         /
3 + --------------------------------------------- + -----------------------------------------------
                          2                                                2                       
$$\frac{i \sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{2} + 3$$
=
       _________________                                 _________________                         
    4 /   2        2        /atan2(im(y), re(y))\     4 /   2        2        /atan2(im(y), re(y))\
    \/  im (y) + re (y) *cos|-------------------|   I*\/  im (y) + re (y) *sin|-------------------|
                            \         2         /                             \         2         /
3 + --------------------------------------------- + -----------------------------------------------
                          2                                                2                       
$$\frac{i \sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{2} + 3$$
3 + (im(y)^2 + re(y)^2)^(1/4)*cos(atan2(im(y), re(y))/2)/2 + i*(im(y)^2 + re(y)^2)^(1/4)*sin(atan2(im(y), re(y))/2)/2