M2 Binomial theorem

2010-08-29 6:29 pm
In the expansion of (1+4px) (1+qx)^n, the coefficient of x is zero and the coefficient of x^2 is -40. Find the values of p and q.

回答 (4)

2010-08-30 11:25 am
✔ 最佳答案
There could be numerous answers since there are 3 unknowns and only 2 given conditions. Possible sets are :
1. n = 4, q = 2, p = - 2.
2. n = 5, q = sqrt(8/3), p = sqrt(8/3) x (-5/4).
3. n = 10, q = sqrt(8/11), p = sqrt(8/11) x (-5/2)

2010-08-30 03:33:56 補充:
Give you one more set : n = 9, q = (sqrt8)/3, p = (-3/4)sqrt 8.
2010-08-29 9:03 pm
個n係咪應該係數字??
2010-08-29 8:17 pm
應該無打錯題目

應該夠料做.....
但好難... 應該係 pure math, 或 a math
2010-08-29 7:13 pm
三個 unknown , 兩個條件 請問有否打錯題目


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