👤

aflati multimea solutiilor inecuatiei :
2x la a 2 +8x-111<(3x-5)(2x+6)


Răspuns :

2x² +8x-111<(3x-5)(2x+6)
2x
²+8x-111<3x×2x+3x×6-5×2x-5×6
2x²+8x-111<6x²+18x-10x-30
2x²+8x-111<6x²+8x-30
2x²+8x-6x²-8x<-30+111
-4x²<81
-x²<81/4
-x<√81/√4⇒-x<9/2⇒x>9/2⇒x apartine (9/2, +infinit)