log(t)+k*t-log(b)-k*b=k*m*a*c la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
/ / k*(b + a*c*m)\\ / / k*(b + a*c*m)\\
|W\b*k*e /| |W\b*k*e /|
t1 = I*im|---------------------| + re|---------------------|
\ k / \ k /
$$t_{1} = \operatorname{re}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} + i \operatorname{im}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)}$$
t1 = re(LambertW(b*k*exp(k*(a*c*m + b)))/k) + i*im(LambertW(b*k*exp(k*(a*c*m + b)))/k)
Suma y producto de raíces
[src]
/ / k*(b + a*c*m)\\ / / k*(b + a*c*m)\\
|W\b*k*e /| |W\b*k*e /|
I*im|---------------------| + re|---------------------|
\ k / \ k /
$$\operatorname{re}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} + i \operatorname{im}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)}$$
/ / k*(b + a*c*m)\\ / / k*(b + a*c*m)\\
|W\b*k*e /| |W\b*k*e /|
I*im|---------------------| + re|---------------------|
\ k / \ k /
$$\operatorname{re}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} + i \operatorname{im}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)}$$
/ / k*(b + a*c*m)\\ / / k*(b + a*c*m)\\
|W\b*k*e /| |W\b*k*e /|
I*im|---------------------| + re|---------------------|
\ k / \ k /
$$\operatorname{re}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} + i \operatorname{im}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)}$$
/ / k*(b + a*c*m)\\ / / k*(b + a*c*m)\\
|W\b*k*e /| |W\b*k*e /|
I*im|---------------------| + re|---------------------|
\ k / \ k /
$$\operatorname{re}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)} + i \operatorname{im}{\left(\frac{W\left(b k e^{k \left(a c m + b\right)}\right)}{k}\right)}$$
i*im(LambertW(b*k*exp(k*(b + a*c*m)))/k) + re(LambertW(b*k*exp(k*(b + a*c*m)))/k)