log(x^2)(16)+log2x(8)=2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Suma y producto de raíces
[src]
___________ ___________
4/5 1/20 / 4/5 4/5 ___\ 1/20 3/10 / ___ 1/20 / 4/5 4/5 ___\ 1/20 3/10 / ___ 1/20
2 *e \2 + 2 *\/ 5 /*e I*2 *\/ 5 - \/ 5 *e \- 2 - 2 *\/ 5 /*e I*2 *\/ 5 - \/ 5 *e
---------- + - ------------------------- - ---------------------------- + --------------------------- + ----------------------------
2 8 4 8 4
2254e201+−8(254+2545)e201−42103i5−5e201+8(−2545−254)e201+42103i5−5e201
4/5 1/20 / 4/5 4/5 ___\ 1/20 / 4/5 4/5 ___\ 1/20
2 *e \2 + 2 *\/ 5 /*e \- 2 - 2 *\/ 5 /*e
---------- - ------------------------- + ---------------------------
2 8 8
−8(254+2545)e201+8(−2545−254)e201+2254e201
/ ___________ \ / ___________ \
4/5 1/20 | / 4/5 4/5 ___\ 1/20 3/10 / ___ 1/20| |/ 4/5 4/5 ___\ 1/20 3/10 / ___ 1/20|
2 *e | \2 + 2 *\/ 5 /*e I*2 *\/ 5 - \/ 5 *e | |\- 2 - 2 *\/ 5 /*e I*2 *\/ 5 - \/ 5 *e |
----------*|- ------------------------- - ----------------------------|*|--------------------------- + ----------------------------|
2 \ 8 4 / \ 8 4 /
2254e201−8(254+2545)e201−42103i5−5e2018(−2545−254)e201+42103i5−5e201
2/5 3/20
2 *e
----------
2
2252e203
4/5 1/20
2 *e
x1 = ----------
2
x1=2254e201
___________
/ 4/5 4/5 ___\ 1/20 3/10 / ___ 1/20
\2 + 2 *\/ 5 /*e I*2 *\/ 5 - \/ 5 *e
x2 = - ------------------------- - ----------------------------
8 4
x2=−8(254+2545)e201−42103i5−5e201
___________
/ 4/5 4/5 ___\ 1/20 3/10 / ___ 1/20
\- 2 - 2 *\/ 5 /*e I*2 *\/ 5 - \/ 5 *e
x3 = --------------------------- + ----------------------------
8 4
x3=8(−2545−254)e201+42103i5−5e201
x3 = (-2^(4/5)*sqrt(5) - 2^(4/5))*exp(1/20)/8 + 2^(3/10)*i*sqrt(5 - sqrt(5))*exp(1/20)/4
x2 = -0.740399930898815 - 0.537932037530219*i
x3 = -0.740399930898815 + 0.537932037530219*i
x3 = -0.740399930898815 + 0.537932037530219*i