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z=ln(9-y^2-x^2)+lnx^1/2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
       /     2    2\     ________
z = log\9 - y  - x / + \/ log(x)
$$z = \sqrt{\log{\left(x \right)}} + \log{\left(- x^{2} + \left(9 - y^{2}\right) \right)}$$
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
  /   _____________________                                                \      _____________________                                                   
  |4 /    2         2          /atan2(arg(x), log(|x|))\      /     2    2\|   4 /    2         2          /atan2(arg(x), log(|x|))\      /|      2    2|\
I*|\/  arg (x) + log (|x|) *sin|-----------------------| + arg\9 - x  - y /| + \/  arg (x) + log (|x|) *cos|-----------------------| + log\|-9 + x  + y |/
  \                            \           2           /                   /                               \           2           /
$$i \left(\sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \arg{\left(- x^{2} - y^{2} + 9 \right)}\right) + \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \log{\left(\left|{x^{2} + y^{2} - 9}\right| \right)}$$ 
=
  /   _____________________                                                \      _____________________                                                   
  |4 /    2         2          /atan2(arg(x), log(|x|))\      /     2    2\|   4 /    2         2          /atan2(arg(x), log(|x|))\      /|      2    2|\
I*|\/  arg (x) + log (|x|) *sin|-----------------------| + arg\9 - x  - y /| + \/  arg (x) + log (|x|) *cos|-----------------------| + log\|-9 + x  + y |/
  \                            \           2           /                   /                               \           2           /
$$i \left(\sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \arg{\left(- x^{2} - y^{2} + 9 \right)}\right) + \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \log{\left(\left|{x^{2} + y^{2} - 9}\right| \right)}$$ 
producto
  /   _____________________                                                \      _____________________                                                   
  |4 /    2         2          /atan2(arg(x), log(|x|))\      /     2    2\|   4 /    2         2          /atan2(arg(x), log(|x|))\      /|      2    2|\
I*|\/  arg (x) + log (|x|) *sin|-----------------------| + arg\9 - x  - y /| + \/  arg (x) + log (|x|) *cos|-----------------------| + log\|-9 + x  + y |/
  \                            \           2           /                   /                               \           2           /
$$i \left(\sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \arg{\left(- x^{2} - y^{2} + 9 \right)}\right) + \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \log{\left(\left|{x^{2} + y^{2} - 9}\right| \right)}$$ 
=
  /   _____________________                                                \      _____________________                                                   
  |4 /    2         2          /atan2(arg(x), log(|x|))\      /     2    2\|   4 /    2         2          /atan2(arg(x), log(|x|))\      /|      2    2|\
I*|\/  arg (x) + log (|x|) *sin|-----------------------| + arg\9 - x  - y /| + \/  arg (x) + log (|x|) *cos|-----------------------| + log\|-9 + x  + y |/
  \                            \           2           /                   /                               \           2           /
$$i \left(\sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \arg{\left(- x^{2} - y^{2} + 9 \right)}\right) + \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \log{\left(\left|{x^{2} + y^{2} - 9}\right| \right)}$$ 
i*((arg(x)^2 + log(|x|)^2)^(1/4)*sin(atan2(arg(x), log(|x|))/2) + arg(9 - x^2 - y^2)) + (arg(x)^2 + log(|x|)^2)^(1/4)*cos(atan2(arg(x), log(|x|))/2) + log(|-9 + x^2 + y^2|)
Respuesta rápida [src] 
       /   _____________________                                                \      _____________________                                                   
       |4 /    2         2          /atan2(arg(x), log(|x|))\      /     2    2\|   4 /    2         2          /atan2(arg(x), log(|x|))\      /|      2    2|\
z1 = I*|\/  arg (x) + log (|x|) *sin|-----------------------| + arg\9 - x  - y /| + \/  arg (x) + log (|x|) *cos|-----------------------| + log\|-9 + x  + y |/
       \                            \           2           /                   /                               \           2           /
$$z_{1} = i \left(\sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \arg{\left(- x^{2} - y^{2} + 9 \right)}\right) + \sqrt[4]{\log{\left(\left|{x}\right| \right)}^{2} + \arg^{2}{\left(x \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(x \right)},\log{\left(\left|{x}\right| \right)} \right)}}{2} \right)} + \log{\left(\left|{x^{2} + y^{2} - 9}\right| \right)}$$ 
z1 = i*((log(|x|)^2 + arg(x)^2)^(1/4)*sin(atan2(arg(x, log(|x|))/2) + arg(-x^2 - y^2 + 9)) + (log(|x|)^2 + arg(x)^2)^(1/4)*cos(atan2(arg(x), log(|x|))/2) + log(|x^2 + y^2 - 9|))
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