2x-3^x+1=0 la ecuación
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Solución
Suma y producto de raíces
[src]
/ ___ \
|-\/ 3 *log(3) |
W|--------------|
1 \ 6 /
1 + - - - -----------------
2 log(3)
$$\left(- \frac{1}{2} - \frac{W\left(- \frac{\sqrt{3} \log{\left(3 \right)}}{6}\right)}{\log{\left(3 \right)}}\right) + 1$$
/ ___ \
|-\/ 3 *log(3) |
W|--------------|
1 \ 6 /
- - -----------------
2 log(3)
$$\frac{1}{2} - \frac{W\left(- \frac{\sqrt{3} \log{\left(3 \right)}}{6}\right)}{\log{\left(3 \right)}}$$
/ / ___ \\
| |-\/ 3 *log(3) ||
| W|--------------||
| 1 \ 6 /|
0*|- - - -----------------|
\ 2 log(3) /
$$0 \left(- \frac{1}{2} - \frac{W\left(- \frac{\sqrt{3} \log{\left(3 \right)}}{6}\right)}{\log{\left(3 \right)}}\right)$$
$$0$$
$$x_{1} = 0$$
$$x_{2} = 1$$
/ ___ \
|-\/ 3 *log(3) |
W|--------------|
1 \ 6 /
x3 = - - - -----------------
2 log(3)
$$x_{3} = - \frac{1}{2} - \frac{W\left(- \frac{\sqrt{3} \log{\left(3 \right)}}{6}\right)}{\log{\left(3 \right)}}$$
x3 = -1/2 - LambertW(-sqrt(3)*log(3)/6)/log(3)