Найти ООФа){20+4x-3x²≥0⇒3x²-4x-20≤0 D=16+240=256 x1=(4-16)/6=-2 U x2=(4+16)/6=10/3-2≤x≤10/3{8-4x>0⇒4x<8⇒x<2x∈[-2;2)б){35+2x-x²≥0⇒x²-2x-35≤0 x1+x2=2 U x1*x2=-35 x1=7 U x2=5⇒-5≤x≤7{|x|-6≠0⇒|x|≠6⇒x≠-6 U x≠6x∈[-5;6) U (6;7] в){x²-5x-14≥0 x1+x2=5 U x1*x2=-14 x1=-2 U x2=7⇒ x≤-2 U x≥7{x²-81≠0⇒x²≠81⇒x≠-9 U x≠9x∈(-∞;-9) U (-9;-2] U [7;9) U (9;∞)Решить неравенствоа)x²-8|x|-33<01)x<0x²+8x-33<0x1+x2=-8 U x1*x2=-33⇒x1=-11 U x2=3-11<x<3x∈(-11;0)2)x≥0x²-8x-33<0x1+x2=8 U x1+x2=-33⇒x1=-3 U x2=11-3<x<11x∈[0;11)Ответ x∈(-11;11)б)|x|*(x²+3x-10)<01)x<0x(x²+3x-10)>0x=0x1+x2=-3 U x1*x2=-10⇒x=-5 U x2=2 _ + _ +-------------(-5)-----------(0)----------------(2)------------x∈(-5;0)2)x>0x(x²+3x-10)<0x=0x1+x2=-3 U x1*x2=-10⇒x=-5 U x2=2 _ + _ +-------------(-5)-----------(0)----------------(2)------------x∈(0;2)Ответ x∈(-5;0) U (0;2)в)(x²+7x-8)/(x-4)²≥0x²+7x-8=0x1+x2=-7 U x1*x2=-8x1=-8 U x2=1x-4=0⇒x=4 + _ + +----------------[-8]-----------[1]-------------------(4)-----------------x∈(-∞;-8] U [1;4) U (4;∞)г)|x|*(x²-5x+6)>01)x<0x*(x²-5x+6)<0x=0x1+x2=5 U x1*x2=6⇒x1=2 U x2=3 _ + _ +--------------(0)----------------(2)--------------(3)--------------x∈(-∞;0)2)x>0x*(x²-5x+6)>0x∈(0;2) U (3;∞)Ответ x∈(-∞;0) U (0;2) U (3;∞)