Question

Cine ma ajuta sa fac punctele a si b de la ex 4 te 50 de puncte. Va rog mult de tot ajutati-ma !

Answer 1

a)
1+6+6^2+...+6^2015=x (inmultim cu 6)

6+6^2+6^3+...+6^2015+6^2016=6x  (adunam 1)

(1+6+6^2+6^3+...+6^2015)+6^2016=6x +1

x+6^2016=6x+1

5x=6^2016 -1

x=(6^2016 -1)/5

5x+1=5*[(6^2016 -1)/5]+1=(6^2016 -1)+1=6^2016

"V"=radical

V(5x+1)=V(6^2016)=6^1008

b)
V[(-2)^4 x(-3)^4 x5^2]-V[(-2)^4 x(+3)^2 x(-5)^2]=

=2^2 x3^2 x5 - 2^2 x3 x5=4x9x5-4x3x5=4x5(9-3)=4x5x6=120