求解 CE maths past paper 一題的step

2013-07-09 5:42 am
1991年 paper 2 Q.36
If p(x^2-x)+q(x^2+x)=4x^2+8x ,find p and q.

答案係C,p=-2,q=6 ,但我唔明個step,網上又搵唔到,所以在此一問. thanks!

回答 (1)

2013-07-09 6:04 am
✔ 最佳答案
p(x²-x)+q(x²+x)=4x²+8x
(p+q)x² + (q-p)x = 4x²+8x
compare coefficents of x² and x terms,
q+p=4--(1)
q -p=8--(2)
(1)+(2), 2q=12 => q=6
put q=6 into (1), gives p= -2
so q=6, p=-2


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