遇到數學算式問題

2008-06-19 6:57 pm
恆等式
ab≡(a)x(b)
左=ab
右=a*b=ab
∵左=右
∴ab≡(a)X(b)

1.若{(2)÷(x^2-1)}≡{(a)÷(x+1)}+{(b)÷(x-1)},求a,b

希請大家幫幫手!

回答 (2)

2008-06-19 7:51 pm
✔ 最佳答案
首先將{(a)÷(x 1)}+{(b)÷(x-1)}加埋左之後
會同lhs果分母一樣就可以比較

{(2)÷(x^2-1)}≡{(a)÷(x 1)}+{(b)÷(x-1)}
rhs: [a(x-1) b(x 1)]÷[(x-1)(x 1]
=[(a b)x (b-a)]/(x^2-1)
so,a b=0....(1)因為lhs無x的系數
b-a=2.....(2)
聯立後...b=1,a=-1//
2008-06-19 8:44 pm
cALCULATE RHS

COMPARE WITH LHS
A=1 , B=-1
參考: Me


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