(а+3/4) x^2 +( a+1/2)х-1/4>0D=( a+1/2)²+4*1/4*(а+3/4)=a²+a+ 1/4+a+3/4=a²+2a+1=(a+1)² √D=|a+1|a≠-1;-3/4 x1=1/(2*(а+3/4))[-a-1/2-|a+1|]x2=1/(2*(а+3/4))[-a-1/2+|a+1|]a>-1 x1=1/(2a+3/2)[-a-1/2-a-1]=1/(2a+3/2)[-2a-3/2]= -1x2=1/(2*(а+3/4))[-a-1/2+a+1]=1/(2a+3/2)[1/2]=1/(4a+3/4)x<-1 x>1/(4a+3/4)a<-1 x1=1/(2a+3/2)[-a-1/2+a+1]=1/(4a+3/4) x2=1/(2a+3/2)[-a-1/2-a-1]=-1x<1/(4a+3/4) x>-1a=-1 -1/4x²-1/2x-1/4>0 (x+1)²<0 нет решенияa=-3/4 -1/4x>1/4 x<-1