Question

Stiind ca x=/4 radical din 6 -10/ si y= 10+4 radical din 6/,calculati media aritmetica a nr. si media geometrica. /=modul

Answer 1

[tex]x=|4\sqrt6-10|=10-4\sqrt6\\ y=10+4\sqrt6\\ m_a=\frac{x+y}{2}=\frac{10-4\sqrt6+10+4\sqrt6}{2}=\frac{20}{2}=\boxed{10}\\ m_g=\sqrt{x\cdot y}=\sqrt{(10-4\sqrt6)(10+4\sqrt6)}=\sqrt{100-96}=\sqrt{4}=\boxed{2}[/tex]