已知等式y=ax²+bx+c,且当x=-1时y=0,当x=2时y=3,当x=-5时y=-60,你能求出a,b,
问题描述:
已知等式y=ax²+bx+c,且当x=-1时y=0,当x=2时y=3,当x=-5时y=-60,你能求出a,b,
答
答案:a=-2,b=3,c=5将当x=-1时y=0,当x=2时y=3,当x=-5时y=-60分别代入原方程,可得:a-b+c=0 (1)4a+2b+c=3 (2)25a-5b+c=-60 (3)将(2)-(1)可得:3a+3b=3 即:a+b=1 (4)将(3)-(2)可得:21a-7b=-63即:3a-b=-9 ...