1)(2x+3)²-7х<(2x-1)(2x+1)
4x²+12x+9-7x<4x²-1
4x²-4x²+12x-7x<-1-9
5x<-10
x<-2
x∈(-∞;-2)
2)(x-3)2-(3+x)(3-X)>2(1-x)
x²-6x+9-9+x²>2-x
x²+x²-6x+x>2
2x²-5x-2>0
D=b²-4ac=25+4*2*2=25+16=41
3)(x-1)2–2(x+1)(х+2)+(x+3)?<5x
x²-2x+1-2(x²+2x+x+2)+x+3<5x
x²-2x-1-2x²-4x-2x-4+x+3<5x
x²-2x²-2x-4x-2x+x-5x+3-4-1<0
-x²-12x-2<0
D=b²-4ac=144-4*(-2)*(-1)=144-8=136
1)(2x+3)²-7х<(2x-1)(2x+1)
4x²+12x+9-7x<4x²-1
4x²-4x²+12x-7x<-1-9
5x<-10
x<-2
x∈(-∞;-2)
2)(x-3)2-(3+x)(3-X)>2(1-x)
x²-6x+9-9+x²>2-x
x²+x²-6x+x>2
2x²-5x-2>0
D=b²-4ac=25+4*2*2=25+16=41
3)(x-1)2–2(x+1)(х+2)+(x+3)?<5x
x²-2x+1-2(x²+2x+x+2)+x+3<5x
x²-2x-1-2x²-4x-2x-4+x+3<5x
x²-2x²-2x-4x-2x+x-5x+3-4-1<0
-x²-12x-2<0
D=b²-4ac=144-4*(-2)*(-1)=144-8=136