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sqrt(x+4)=a-2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
  _______        
\/ x + 4  = a - 2
x+4=a−2\sqrt{x + 4} = a - 2
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Respuesta rápida [src] 
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         4 /            2     2        /atan2(im(x), 4 + re(x))\     4 /            2     2        /atan2(im(x), 4 + re(x))\
a1 = 2 + \/  (4 + re(x))  + im (x) *cos|-----------------------| + I*\/  (4 + re(x))  + im (x) *sin|-----------------------|
                                       \           2           /                                   \           2           /
a1=i(re⁡(x)+4)2+(im⁡(x))24sin⁡(atan2⁡(im⁡(x),re⁡(x)+4)2)+(re⁡(x)+4)2+(im⁡(x))24cos⁡(atan2⁡(im⁡(x),re⁡(x)+4)2)+2a_{1} = i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + 2 
a1 = i*((re(x) + 4)^2 + im(x)^2)^(1/4)*sin(atan2(im(x, re(x) + 4)/2) + ((re(x) + 4)^2 + im(x)^2)^(1/4)*cos(atan2(im(x), re(x) + 4)/2) + 2)
Suma y producto de raíces [src] 
suma
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    4 /            2     2        /atan2(im(x), 4 + re(x))\     4 /            2     2        /atan2(im(x), 4 + re(x))\
2 + \/  (4 + re(x))  + im (x) *cos|-----------------------| + I*\/  (4 + re(x))  + im (x) *sin|-----------------------|
                                  \           2           /                                   \           2           /
i(re⁡(x)+4)2+(im⁡(x))24sin⁡(atan2⁡(im⁡(x),re⁡(x)+4)2)+(re⁡(x)+4)2+(im⁡(x))24cos⁡(atan2⁡(im⁡(x),re⁡(x)+4)2)+2i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + 2 
=
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    4 /            2     2        /atan2(im(x), 4 + re(x))\     4 /            2     2        /atan2(im(x), 4 + re(x))\
2 + \/  (4 + re(x))  + im (x) *cos|-----------------------| + I*\/  (4 + re(x))  + im (x) *sin|-----------------------|
                                  \           2           /                                   \           2           /
i(re⁡(x)+4)2+(im⁡(x))24sin⁡(atan2⁡(im⁡(x),re⁡(x)+4)2)+(re⁡(x)+4)2+(im⁡(x))24cos⁡(atan2⁡(im⁡(x),re⁡(x)+4)2)+2i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + 2 
producto
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    4 /            2     2        /atan2(im(x), 4 + re(x))\     4 /            2     2        /atan2(im(x), 4 + re(x))\
2 + \/  (4 + re(x))  + im (x) *cos|-----------------------| + I*\/  (4 + re(x))  + im (x) *sin|-----------------------|
                                  \           2           /                                   \           2           /
i(re⁡(x)+4)2+(im⁡(x))24sin⁡(atan2⁡(im⁡(x),re⁡(x)+4)2)+(re⁡(x)+4)2+(im⁡(x))24cos⁡(atan2⁡(im⁡(x),re⁡(x)+4)2)+2i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + 2 
=
       _______________________                                     _______________________                             
    4 /            2     2        /atan2(im(x), 4 + re(x))\     4 /            2     2        /atan2(im(x), 4 + re(x))\
2 + \/  (4 + re(x))  + im (x) *cos|-----------------------| + I*\/  (4 + re(x))  + im (x) *sin|-----------------------|
                                  \           2           /                                   \           2           /
i(re⁡(x)+4)2+(im⁡(x))24sin⁡(atan2⁡(im⁡(x),re⁡(x)+4)2)+(re⁡(x)+4)2+(im⁡(x))24cos⁡(atan2⁡(im⁡(x),re⁡(x)+4)2)+2i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + 2 
2 + ((4 + re(x))^2 + im(x)^2)^(1/4)*cos(atan2(im(x), 4 + re(x))/2) + i*((4 + re(x))^2 + im(x)^2)^(1/4)*sin(atan2(im(x), 4 + re(x))/2)
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