∵S△ABC=15,即,[(x2-x1)×(AB×OC)/2=15,
x2-x1=6,∵a+b+c=0,∴a+c=-b,(a+c)²=(-b)²=b²,
[-b±√(b²-4ac)]/2a=x1或x2,即{(a+c)±√[(a+c)²-4ac]}/2a=x1或x2,化简得[(a+c)±(a-c)]/2a=x1或x2,∵抛物线开口向下,∴a<0,∴[(a+c)-(a-c)]/2a=c/a=x1,[(a+c)+(a-c)]/2a=1=x2∵x2-x1=6,∴x1c/a=-5,即
A(-5,0)、B(1,0)、C(0,5),剩下的会了吧.