Question

Fie E(x)=2x+1
a) verificați egalitatea E(x)=(x+1)^2-x^2
b) Calculați produsul E(radical2)*E(rad2 -1)
C) aratati ca: radical [E(1)+E(2)+...+E(n)]-2n apartine N
Observatie: -2n de la pct c e tot sub radical

Answer 1

2x+1=x²+2x+1-x²=2x+1 Adevarat

E(√2)=2√2+1
E(√2-1)=2(√2-1)+1=2√2-2+1=2√2-1

atunci
E(√2)*E(√2-1)=(2√2+1)*(2√2-1)=8-1=7


E(x)=2x+1

vezi atasament