Question

Determinați numere x ,y,z știind ca in fiecare caz numere sunt ordonate in progresie geometrica



d) t+6 , t-2 , t-6

b) y, y+1 , y+3

Answer 1

b)

(y+1)²=y(y+3)

y²+2y+1=y²+3y

y=1...verificare 1;2;4 ..adevarat, ratie 2, as simple as that!!

analog

(t-2)²=(t-6)(t+6)

t²-4t+4=t²-36

4t=40

t=10......16;8;4........ adevarat, ratie1/2