Question

Determinati numerele reale x si y care au suma egala cu 12 si produsul egal cu 32 + explicatie va rog dau coroana

Answer 1

x*y=32

x+y=12=>x=12-y

(12-y)y=32<=>12y-y²=32<=>-y²+12y-32=0|(-1)=>y²-12y+32=0

Δ=144-128=16>0

y₁,₂=(12±4)/2=6±2=>y₁=8;y₂=4

Pt.y₁=8=>x₁=12-y₁=12-8=4

Pt.y₂=4=>x₂=12-y₂=12-4=8

S={(4,8),(8,4)}