Question

Rezolvați inecuatiile de gradul 2 atașate mai jos!
Dau coronița!!

Answer 1

1.

x²+2x-3≤0

x²+3x-x-3≤0

x•(x+3)-(x+3)≤0

(x+3)•(x-1)≤0

{x+3≤0

x-1≥0

x+3≥0

x-1≤0

{x≤-3

x≥1

x≥-3

x≤1

x€∅

x€[-3,1]

2.

x²-3x-4>0

x²+x-4x-4>0

x•(x+1)-4(x+1)>0

(x+1)•(x-4)>0

{x+1>0

x-4>0

{x+1<0

x-4<0

{x>-1

x>4

x<-1

x<4

x€[4, + infinit (pui semnul ca nu l am)]

x€[- infinit, -1]

x€[- infinit, -1] U [4, + infinit]