Question

Y^(1/2)+y=20
Care este y?
Log in baza4 (1/2x+1)=3.2
Care este x?

Answer 1

y^1/2 +y=20, y>=0 ca sa aiba sens y sub radical
y^1/2=20-y
ridicam la puterea a doua
y=400-41y+y²
y²-42y+400=0
aplici formula de aflare a radacinilor fc de gr doi si retii doar radacina pozitiva

log in baza 4(1/2x+1)=32
aplicam funtia exponentiala inversa log in baza 4, adica 4 la x
(1/2x+1)=4^32
(x+2)/2=2^64
x+2=2^65
x=2^65-2

succes!