acos(2^x-2^-x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Suma y producto de raíces
[src]
/ ___\
| 1 \/ 5 |
/ ___\ log|- - + -----|
log\1 + \/ 5 / \ 2 2 / pi*I
-1 + -------------- + ---------------- + ------
log(2) log(2) log(2)
(−1+log(2)log(1+5))+log(2)log(−21+25)+log(2)iπ
/ ___\
| 1 \/ 5 |
/ ___\ log|- - + -----|
log\1 + \/ 5 / \ 2 2 / pi*I
-1 + -------------- + ---------------- + ------
log(2) log(2) log(2)
−1+log(2)log(−21+25)+log(2)log(1+5)+log(2)iπ
/ / ___\ \
| | 1 \/ 5 | |
/ / ___\\ |log|- - + -----| |
| log\1 + \/ 5 /| | \ 2 2 / pi*I |
|-1 + --------------|*|---------------- + ------|
\ log(2) / \ log(2) log(2)/
(−1+log(2)log(1+5))log(2)log(−21+25)+log(2)iπ
/ 1 \
| -------|
| 2 |
/ / ___\\ | log (2)|
| | 1 \/ 5 || |/ 2 \ |
-|pi*I + log|- - + -----||*log||---------| |
\ \ 2 2 // || ___| |
\\1 + \/ 5 / /
−(log(−21+25)+iπ)log((1+52)log(2)21)
-(pi*i + log(-1/2 + sqrt(5)/2))*log((2/(1 + sqrt(5)))^(log(2)^(-2)))
/ ___\
log\1 + \/ 5 /
x1 = -1 + --------------
log(2)
x1=−1+log(2)log(1+5)
/ ___\
| 1 \/ 5 |
log|- - + -----|
\ 2 2 / pi*I
x2 = ---------------- + ------
log(2) log(2)
x2=log(2)log(−21+25)+log(2)iπ
x2 = log(-1/2 + sqrt(5)/2)/log(2) + i*pi/log(2)
x1 = -0.694241913630617 + 4.53236014182719*i