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lg^2x+lgx^2=log2-1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
   2         2                
log (x) + log (x) = log(2) - 1
log⁡(x)2+log⁡(x)2=−1+log⁡(2)\log{\left(x \right)}^{2} + \log{\left(x \right)}^{2} = -1 + \log{\left(2 \right)}
Simplificar
Gráfica
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.515.010.012.5-100100
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
            /  ___   ____________\      /  ___   ____________\
            |\/ 2 *\/ 1 - log(2) |      |\/ 2 *\/ 1 - log(2) |
x1 = - I*sin|--------------------| + cos|--------------------|
            \         2          /      \         2          /
x1=cos⁡(21−log⁡(2)2)−isin⁡(21−log⁡(2)2)x_{1} = \cos{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)} - i \sin{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)} 
          /  ___   ____________\      /  ___   ____________\
          |\/ 2 *\/ 1 - log(2) |      |\/ 2 *\/ 1 - log(2) |
x2 = I*sin|--------------------| + cos|--------------------|
          \         2          /      \         2          /
x2=cos⁡(21−log⁡(2)2)+isin⁡(21−log⁡(2)2)x_{2} = \cos{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)} + i \sin{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)} 
x2 = cos(sqrt(2)*sqrt(1 - log(2))/2) + i*sin(sqrt(2)*sqrt(1 - log(2))/2)
Suma y producto de raíces [src] 
suma
       /  ___   ____________\      /  ___   ____________\        /  ___   ____________\      /  ___   ____________\
       |\/ 2 *\/ 1 - log(2) |      |\/ 2 *\/ 1 - log(2) |        |\/ 2 *\/ 1 - log(2) |      |\/ 2 *\/ 1 - log(2) |
- I*sin|--------------------| + cos|--------------------| + I*sin|--------------------| + cos|--------------------|
       \         2          /      \         2          /        \         2          /      \         2          /
(cos⁡(21−log⁡(2)2)−isin⁡(21−log⁡(2)2))+(cos⁡(21−log⁡(2)2)+isin⁡(21−log⁡(2)2))\left(\cos{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)} - i \sin{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)}\right) + \left(\cos{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)} + i \sin{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)}\right) 
=
     /  ___   ____________\
     |\/ 2 *\/ 1 - log(2) |
2*cos|--------------------|
     \         2          /
2cos⁡(21−log⁡(2)2)2 \cos{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)} 
producto
/       /  ___   ____________\      /  ___   ____________\\ /     /  ___   ____________\      /  ___   ____________\\
|       |\/ 2 *\/ 1 - log(2) |      |\/ 2 *\/ 1 - log(2) || |     |\/ 2 *\/ 1 - log(2) |      |\/ 2 *\/ 1 - log(2) ||
|- I*sin|--------------------| + cos|--------------------||*|I*sin|--------------------| + cos|--------------------||
\       \         2          /      \         2          // \     \         2          /      \         2          //
(cos⁡(21−log⁡(2)2)−isin⁡(21−log⁡(2)2))(cos⁡(21−log⁡(2)2)+isin⁡(21−log⁡(2)2))\left(\cos{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)} - i \sin{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)}\right) \left(\cos{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)} + i \sin{\left(\frac{\sqrt{2} \sqrt{1 - \log{\left(2 \right)}}}{2} \right)}\right) 
=
1
11 
1
Respuesta numérica [src] 
x1 = 0.924262612040058 - 0.381757284128133*i
x2 = 0.924262612040058 + 0.381757284128133*i
x2 = 0.924262612040058 + 0.381757284128133*i
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