3^x+5x-2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
/ / 2/5\\
| | 3 ||
| | ----||
| | 5 || log(9)
- W\log\3 // + ------
5
------------------------
log(3)
$$\frac{- W\left(\log{\left(3^{\frac{3^{\frac{2}{5}}}{5}} \right)}\right) + \frac{\log{\left(9 \right)}}{5}}{\log{\left(3 \right)}}$$
/ / 2/5\\
| | 3 ||
| | ----||
| | 5 || log(9)
- W\log\3 // + ------
5
------------------------
log(3)
$$\frac{- W\left(\log{\left(3^{\frac{3^{\frac{2}{5}}}{5}} \right)}\right) + \frac{\log{\left(9 \right)}}{5}}{\log{\left(3 \right)}}$$
/ / 2/5\\
| | 3 ||
| | ----||
| | 5 || log(9)
- W\log\3 // + ------
5
------------------------
log(3)
$$\frac{- W\left(\log{\left(3^{\frac{3^{\frac{2}{5}}}{5}} \right)}\right) + \frac{\log{\left(9 \right)}}{5}}{\log{\left(3 \right)}}$$
/ / 2/5\\
| | 3 ||
| | ----||
| | 5 || log(9)
- W\log\3 // + ------
5
------------------------
log(3)
$$\frac{- W\left(\log{\left(3^{\frac{3^{\frac{2}{5}}}{5}} \right)}\right) + \frac{\log{\left(9 \right)}}{5}}{\log{\left(3 \right)}}$$
(-LambertW(log(3^(3^(2/5)/5))) + log(9)/5)/log(3)
/ / 2/5\\
| | 3 ||
| | ----||
| | 5 || log(9)
- W\log\3 // + ------
5
x1 = ------------------------
log(3)
$$x_{1} = \frac{- W\left(\log{\left(3^{\frac{3^{\frac{2}{5}}}{5}} \right)}\right) + \frac{\log{\left(9 \right)}}{5}}{\log{\left(3 \right)}}$$
x1 = (-LambertW(log(3^(3^(2/5)/5))) + log(9)/5)/log(3)