Bună! ⭐
_________
x₁; x₂ ∈ R
S=x₁+x₂
P=x₁*x₂
x²-Sx+P=0
__________
[tex]\left \{ {x_{1}=2+\sqrt{2} } \atop {x_{2}=2-\sqrt{2} }} \right. => S=4, P=2[/tex]
[tex]S=2+\sqrt{2} +2-\sqrt{2} =2+2=4[/tex]
[tex]P=(2+\sqrt{2} )(2-\sqrt{2} )=2^{2} -(\sqrt{2})^{2} =4-2=2[/tex]