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log(x^2-a)/log(2)=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
   / 2    \    
log\x  - a/    
----------- = 1
   log(2)
log⁡(−a+x2)log⁡(2)=1\frac{\log{\left(- a + x^{2} \right)}}{\log{\left(2 \right)}} = 1
Simplificar
Gráfica
Respuesta rápida [src] 
          _______________________                                     _______________________                             
       4 /            2     2        /atan2(im(a), 2 + re(a))\     4 /            2     2        /atan2(im(a), 2 + re(a))\
x1 = - \/  (2 + re(a))  + im (a) *cos|-----------------------| - I*\/  (2 + re(a))  + im (a) *sin|-----------------------|
                                     \           2           /                                   \           2           /
x1=−i(re⁡(a)+2)2+(im⁡(a))24sin⁡(atan2⁡(im⁡(a),re⁡(a)+2)2)−(re⁡(a)+2)2+(im⁡(a))24cos⁡(atan2⁡(im⁡(a),re⁡(a)+2)2)x_{1} = - i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} 
        _______________________                                     _______________________                             
     4 /            2     2        /atan2(im(a), 2 + re(a))\     4 /            2     2        /atan2(im(a), 2 + re(a))\
x2 = \/  (2 + re(a))  + im (a) *cos|-----------------------| + I*\/  (2 + re(a))  + im (a) *sin|-----------------------|
                                   \           2           /                                   \           2           /
x2=i(re⁡(a)+2)2+(im⁡(a))24sin⁡(atan2⁡(im⁡(a),re⁡(a)+2)2)+(re⁡(a)+2)2+(im⁡(a))24cos⁡(atan2⁡(im⁡(a),re⁡(a)+2)2)x_{2} = i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} 
x2 = i*((re(a) + 2)^2 + im(a)^2)^(1/4)*sin(atan2(im(a, re(a) + 2)/2) + ((re(a) + 2)^2 + im(a)^2)^(1/4)*cos(atan2(im(a), re(a) + 2)/2))
Suma y producto de raíces [src] 
suma
     _______________________                                     _______________________                                   _______________________                                     _______________________                             
  4 /            2     2        /atan2(im(a), 2 + re(a))\     4 /            2     2        /atan2(im(a), 2 + re(a))\   4 /            2     2        /atan2(im(a), 2 + re(a))\     4 /            2     2        /atan2(im(a), 2 + re(a))\
- \/  (2 + re(a))  + im (a) *cos|-----------------------| - I*\/  (2 + re(a))  + im (a) *sin|-----------------------| + \/  (2 + re(a))  + im (a) *cos|-----------------------| + I*\/  (2 + re(a))  + im (a) *sin|-----------------------|
                                \           2           /                                   \           2           /                                 \           2           /                                   \           2           /
(−i(re⁡(a)+2)2+(im⁡(a))24sin⁡(atan2⁡(im⁡(a),re⁡(a)+2)2)−(re⁡(a)+2)2+(im⁡(a))24cos⁡(atan2⁡(im⁡(a),re⁡(a)+2)2))+(i(re⁡(a)+2)2+(im⁡(a))24sin⁡(atan2⁡(im⁡(a),re⁡(a)+2)2)+(re⁡(a)+2)2+(im⁡(a))24cos⁡(atan2⁡(im⁡(a),re⁡(a)+2)2))\left(- i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)}\right) 
=
0
00 
producto
/     _______________________                                     _______________________                             \ /   _______________________                                     _______________________                             \
|  4 /            2     2        /atan2(im(a), 2 + re(a))\     4 /            2     2        /atan2(im(a), 2 + re(a))\| |4 /            2     2        /atan2(im(a), 2 + re(a))\     4 /            2     2        /atan2(im(a), 2 + re(a))\|
|- \/  (2 + re(a))  + im (a) *cos|-----------------------| - I*\/  (2 + re(a))  + im (a) *sin|-----------------------||*|\/  (2 + re(a))  + im (a) *cos|-----------------------| + I*\/  (2 + re(a))  + im (a) *sin|-----------------------||
\                                \           2           /                                   \           2           // \                              \           2           /                                   \           2           //
(−i(re⁡(a)+2)2+(im⁡(a))24sin⁡(atan2⁡(im⁡(a),re⁡(a)+2)2)−(re⁡(a)+2)2+(im⁡(a))24cos⁡(atan2⁡(im⁡(a),re⁡(a)+2)2))(i(re⁡(a)+2)2+(im⁡(a))24sin⁡(atan2⁡(im⁡(a),re⁡(a)+2)2)+(re⁡(a)+2)2+(im⁡(a))24cos⁡(atan2⁡(im⁡(a),re⁡(a)+2)2))\left(- i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}}{2} \right)}\right) 
=
    _______________________                           
   /            2     2      I*atan2(im(a), 2 + re(a))
-\/  (2 + re(a))  + im (a) *e
−(re⁡(a)+2)2+(im⁡(a))2eiatan2⁡(im⁡(a),re⁡(a)+2)- \sqrt{\left(\operatorname{re}{\left(a\right)} + 2\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} + 2 \right)}} 
-sqrt((2 + re(a))^2 + im(a)^2)*exp(i*atan2(im(a), 2 + re(a)))
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