用配方法解下列方程①x2-2x=2x+1②y2-4√3y+12=0③2x2+1=3x④﹙x-3﹚﹙2x+1﹚=-5
问题描述:
用配方法解下列方程①x2-2x=2x+1②y2-4√3y+12=0③2x2+1=3x④﹙x-3﹚﹙2x+1﹚=-5
答
①x2-2x=2x+1x²-4x=1;x²-4x+4=5;(x-2)²=5;x-2=±√5;x=2±√5;②y2-4√3y+12=0(y-2√3)²=0;y=2√3;③2x2+1=3xx²-3x/2=-1/2;(x-3/4)²=-1/2+9/16;(x-3/4)²=1/16;x-3/4=±1/4;x=3/4...