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cx^((x^-2))=28 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
   1      
   --     
    2     
   x      
c*x   = 28
cx1x2=28c x^{\frac{1}{x^{2}}} = 28
Simplificar
Gráfica
Respuesta rápida [src] 
                                          / /                / 2\\\          / /                / 2\\\                                  
                                       -re\W\-2*log(28) + log\c ///       -re\W\-2*log(28) + log\c ///                                  
        /  / /                / 2\\\\  -----------------------------      -----------------------------    /  / /                / 2\\\\
        |im\W\-2*log(28) + log\c ///|                2                                  2                  |im\W\-2*log(28) + log\c ///|
x1 = cos|---------------------------|*e                              - I*e                             *sin|---------------------------|
        \             2             /                                                                      \             2             /
x1=−ie−re⁡(W(log⁡(c2)−2log⁡(28)))2sin⁡(im⁡(W(log⁡(c2)−2log⁡(28)))2)+e−re⁡(W(log⁡(c2)−2log⁡(28)))2cos⁡(im⁡(W(log⁡(c2)−2log⁡(28)))2)x_{1} = - i e^{- \frac{\operatorname{re}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2}} \sin{\left(\frac{\operatorname{im}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2} \right)} + e^{- \frac{\operatorname{re}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2}} \cos{\left(\frac{\operatorname{im}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2} \right)} 
x1 = -i*exp(-re(LambertW(log(c^2) - 2*log(28)))/2)*sin(im(LambertW(log(c^2) - 2*log(28)))/2) + exp(-re(LambertW(log(c^2) - 2*log(28)))/2)*cos(im(LambertW(log(c^2) - 2*log(28)))/2)
Suma y producto de raíces [src] 
suma
                                     / /                / 2\\\          / /                / 2\\\                                  
                                  -re\W\-2*log(28) + log\c ///       -re\W\-2*log(28) + log\c ///                                  
   /  / /                / 2\\\\  -----------------------------      -----------------------------    /  / /                / 2\\\\
   |im\W\-2*log(28) + log\c ///|                2                                  2                  |im\W\-2*log(28) + log\c ///|
cos|---------------------------|*e                              - I*e                             *sin|---------------------------|
   \             2             /                                                                      \             2             /
−ie−re⁡(W(log⁡(c2)−2log⁡(28)))2sin⁡(im⁡(W(log⁡(c2)−2log⁡(28)))2)+e−re⁡(W(log⁡(c2)−2log⁡(28)))2cos⁡(im⁡(W(log⁡(c2)−2log⁡(28)))2)- i e^{- \frac{\operatorname{re}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2}} \sin{\left(\frac{\operatorname{im}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2} \right)} + e^{- \frac{\operatorname{re}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2}} \cos{\left(\frac{\operatorname{im}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2} \right)} 
=
                                     / /                / 2\\\          / /                / 2\\\                                  
                                  -re\W\-2*log(28) + log\c ///       -re\W\-2*log(28) + log\c ///                                  
   /  / /                / 2\\\\  -----------------------------      -----------------------------    /  / /                / 2\\\\
   |im\W\-2*log(28) + log\c ///|                2                                  2                  |im\W\-2*log(28) + log\c ///|
cos|---------------------------|*e                              - I*e                             *sin|---------------------------|
   \             2             /                                                                      \             2             /
−ie−re⁡(W(log⁡(c2)−2log⁡(28)))2sin⁡(im⁡(W(log⁡(c2)−2log⁡(28)))2)+e−re⁡(W(log⁡(c2)−2log⁡(28)))2cos⁡(im⁡(W(log⁡(c2)−2log⁡(28)))2)- i e^{- \frac{\operatorname{re}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2}} \sin{\left(\frac{\operatorname{im}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2} \right)} + e^{- \frac{\operatorname{re}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2}} \cos{\left(\frac{\operatorname{im}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2} \right)} 
producto
                                     / /                / 2\\\          / /                / 2\\\                                  
                                  -re\W\-2*log(28) + log\c ///       -re\W\-2*log(28) + log\c ///                                  
   /  / /                / 2\\\\  -----------------------------      -----------------------------    /  / /                / 2\\\\
   |im\W\-2*log(28) + log\c ///|                2                                  2                  |im\W\-2*log(28) + log\c ///|
cos|---------------------------|*e                              - I*e                             *sin|---------------------------|
   \             2             /                                                                      \             2             /
−ie−re⁡(W(log⁡(c2)−2log⁡(28)))2sin⁡(im⁡(W(log⁡(c2)−2log⁡(28)))2)+e−re⁡(W(log⁡(c2)−2log⁡(28)))2cos⁡(im⁡(W(log⁡(c2)−2log⁡(28)))2)- i e^{- \frac{\operatorname{re}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2}} \sin{\left(\frac{\operatorname{im}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2} \right)} + e^{- \frac{\operatorname{re}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2}} \cos{\left(\frac{\operatorname{im}{\left(W\left(\log{\left(c^{2} \right)} - 2 \log{\left(28 \right)}\right)\right)}}{2} \right)} 
=
     / /   /  2\\\       / /   /  2\\\
     | |   | c |||       | |   | c |||
   re|W|log|---|||   I*im|W|log|---|||
     \ \   \784///       \ \   \784///
 - --------------- - -----------------
          2                  2        
e
e−re⁡(W(log⁡(c2784)))2−iim⁡(W(log⁡(c2784)))2e^{- \frac{\operatorname{re}{\left(W\left(\log{\left(\frac{c^{2}}{784} \right)}\right)\right)}}{2} - \frac{i \operatorname{im}{\left(W\left(\log{\left(\frac{c^{2}}{784} \right)}\right)\right)}}{2}} 
exp(-re(LambertW(log(c^2/784)))/2 - i*im(LambertW(log(c^2/784)))/2)
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