sedinalana
-(x²+3x-3)(x²+3x+1)≤-5 x²+3x-3)(x²+3x+1)≥5 x²+3x-3=a a(a+4)≥5 a²+4a-5≥0 a1+a2=-4 U a1*a2=-5 a≤-5 U a≥1 x²+3x-3≤-5 U x²+3x-3≥1 x²+3x+2≤0 U x²+3x-4≥0 1)x1+x2=-3 U x1*x2=2⇒x1=-2 U x2=-1⇒-2≤x≤-1 2)x1+x2=-3 U x1*x2=-4⇒x1=-4 U x2=1⇒x≤-4 U x≥1 x∈(-∞;-4] U [-2;-1] U [1;∞)
Answers & Comments
x²+3x-3)(x²+3x+1)≥5
x²+3x-3=a
a(a+4)≥5
a²+4a-5≥0
a1+a2=-4 U a1*a2=-5
a≤-5 U a≥1
x²+3x-3≤-5 U x²+3x-3≥1
x²+3x+2≤0 U x²+3x-4≥0
1)x1+x2=-3 U x1*x2=2⇒x1=-2 U x2=-1⇒-2≤x≤-1
2)x1+x2=-3 U x1*x2=-4⇒x1=-4 U x2=1⇒x≤-4 U x≥1
x∈(-∞;-4] U [-2;-1] U [1;∞)