Question

Rezolvati exercitiul !​

Answer 1

Explicație pas cu pas:

a²+9a>=6a => a²+9a-6a>=0 => (a-3)²>=0 Adevarat

a⁴+100>=20a² => a⁴+100-20a²>=0 => (a-10)²>=0 Adevarat

a²+1/a²>=2 => a²+1/a²-2>=0 => (a-1/a)²>=0 Adevarat

a⁴+3a²+1>=2a³+2a =>

a⁴+3a²+1-2a³-2a>=0 =>

a⁴-2a³+a²+a²-2a+1+a²>=0=>

(a²-a)²+(a-1)²+a²>=0 Adevarat deaorece (a²-a)²>=0

(a-1)²>=0 , a²>=0