y=ax^2+bx+c interesects the x-axis at (-2,0)and (-3,0), where a,b,c are constsnts and 1 is their only common factor. Find the value of a,b,c.
Thank you very much
數學問題 40points
2009-11-01 5:39 am
回答 (1)
2009-11-01 5:49 am
✔ 最佳答案
y = ax^2 + bx + c0 = 4a - 2b + c ...(1)
0 = 9a - 3b + c ... (2)
(2) - (1) => 5a - b = 0
b = 5a
Sub into (1), 0 = 4a - 10a + c
c = 6a
So a : b : c = a : 5a : 6a = 1 : 5 : 6
Therefore a = 1, b = 5, c = 6
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