(X^2+2X+3)/((X+2)^3)=a/(X+2)+b/((X+2)^2)+c/((X+2)^3),求a,b,c(a,b,c为常数)
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(X^2+2X+3)/((X+2)^3)=a/(X+2)+b/((X+2)^2)+c/((X+2)^3),求a,b,c(a,b,c为常数)
(X^2+2X+3)/((X+2)^3)=a/(X+2)+b/((X+2)^2)+c/((X+2)^3),求a,b,c(a,b,c为常数)
(X^2+2X+3)/((X+2)^3)=a/(X+2)+b/((X+2)^2)+c/((X+2)^3),求a,b,c(a,b,c为常数)
这个就是分情况讨论.
首先,原方程等价于(a-1)x^2+(4a+b-2)x+4a+2b+c-3=0 (x ≠ -2).
分两种情况讨论.
(1)当a≠ 1时,若Δ
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