<span>2(b-1)+a(b-1) =</span><span>(b-1)(2+а)</span>
1)3x/(x³-1) -5/(4x²+4x+4) - 1/2(1-x)=3x/(x-1)(x²+x+1)- 5/4(x²+x_1)+1/2(x-1)=0
x-1≠0⇒x≠1
x²+x+1>0при любом х
12x-5x+5+2x²+2x+2=0
2x²+9x+7=0
D=81-56=25
x1=(-9-5)/4=-3,5
x2=(-9+5)/4=-1
2)(x-2)(2x-1)/(2x²+7x+3)>0
x-2=0⇒x=2
2x-1=0⇒x=1/2
2x²+7x+3=0
D=49-24=25
x=(-7-5)/4=-3
x=(-7+5)/4=-1/2
+ _ + _ +
______________________________________________
-3 -1/2 1/2 2
x∈(-∞;-3) U (-1/2;1/2) U (2;∞)
3)(x-3)(2-x)/(3+x)(x+2)<-1
(x-3)(2-x)/(3+x)(x+2)+1<0
(2x-x²-6+3x+3x+6+x²+2x)/(3+x)(x+2)<0
10x/(3+x)(x+2)<0
x=0
3+x=0⇒x=-3
x+2=0⇒x=-2
_ + _ +
_______________________
-3 -2 0
x∈(-∞;-3) U (-2;0)
6х=0+10,2 6х=10,2 х=10.2:6 х=1,7 5х-3х=2,5+4,5 2х=7 х=3,5