6*(-2x)-5*6^(-x)-6=0 la ecuación
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Solución
Gráfica
Suma y producto de raíces
[src]
/ / ___ \\ / / ___ \\
| |-5*\/ 6 *log(6)|| | |-5*\/ 6 *log(6)||
re|W|---------------|| I*im|W|---------------||
1 \ \ 12 // \ \ 12 //
- - + ---------------------- + ------------------------
2 log(6) log(6)
−21+log(6)re(W(−1256log(6)))+log(6)iim(W(−1256log(6)))
/ / ___ \\ / / ___ \\
| |-5*\/ 6 *log(6)|| | |-5*\/ 6 *log(6)||
re|W|---------------|| I*im|W|---------------||
1 \ \ 12 // \ \ 12 //
- - + ---------------------- + ------------------------
2 log(6) log(6)
−21+log(6)re(W(−1256log(6)))+log(6)iim(W(−1256log(6)))
/ / ___ \\ / / ___ \\
| |-5*\/ 6 *log(6)|| | |-5*\/ 6 *log(6)||
re|W|---------------|| I*im|W|---------------||
1 \ \ 12 // \ \ 12 //
- - + ---------------------- + ------------------------
2 log(6) log(6)
−21+log(6)re(W(−1256log(6)))+log(6)iim(W(−1256log(6)))
/ / ___ \\ / / ___ \\
log(6) | |-5*\/ 6 *log(6)|| | |-5*\/ 6 *log(6)||
- ------ + I*im|W|---------------|| + re|W|---------------||
2 \ \ 12 // \ \ 12 //
------------------------------------------------------------
log(6)
log(6)−2log(6)+re(W(−1256log(6)))+iim(W(−1256log(6)))
(-log(6)/2 + i*im(LambertW(-5*sqrt(6)*log(6)/12)) + re(LambertW(-5*sqrt(6)*log(6)/12)))/log(6)
/ / ___ \\ / / ___ \\
| |-5*\/ 6 *log(6)|| | |-5*\/ 6 *log(6)||
re|W|---------------|| I*im|W|---------------||
1 \ \ 12 // \ \ 12 //
x1 = - - + ---------------------- + ------------------------
2 log(6) log(6)
x1=−21+log(6)re(W(−1256log(6)))+log(6)iim(W(−1256log(6)))
x1 = -1/2 + re(LambertW(-5*sqrt(6)*log(6)/12))/log(6) + i*im(LambertW(-5*sqrt(6)*log(6)/12))/log(6)
x1 = -0.439419334754449 + 0.913630996612125*i
x1 = -0.439419334754449 + 0.913630996612125*i