已知2/x(x2-1）=(A/x)+(B/x+1)+(C/x-1),求A,B,C,的值

来源：学生作业帮编辑：大师作文网作业帮分类：数学作业时间：2024/11/10 18:08:01

2/(X(X^2-1))=A/X+B/(X+1)+C/(X-1)=(A(X-1)(X+1)+BX(X-1)+CX(X+1))/(X(X^2-1))
=(AX^2-A+BX^2-B+CX^2+C)/(X(X^2-1))
则有 A+B+C=0
C-A-B=2
==> C=1 A+B=-1

已知2/x(x2-1）=(A/x)+(B/x+1)+(C/x-1),求A,B,C,的值已知:A+B=3x2-5x-1,A-C=-2x+3x2-5,且|x|=½,求B+C的值已知A=3x2-2x-1，B=x2-4x+7，C=x2-3x+6，求：A•（C-B）．已知x²+2/x(x+1)(x+2)=A/x+B/x+C/x,试求常数A.B.C的值已知X3+X2-5X-6=(X+A)(X+B)(X+C),求A、B、C的值? 数学已知3X^2+2x+4=a（x-1）（x+2）+b（x-1）-c,求a,b,c的值已知A/x(x-1)(x+2)=B/x + 1/(x-1) + C/(x+2),求A,B和C的值! 已知(3x-9)/[(x平方-1)(x-2)]=A/(x-1)+B/(x+1)+C/(x-2).试求A、B、C的值已知x(x-1)(x+2)分之2x+3=x分之A+(x-1)分之B+(x+2)分之C（A、B、C为常数）求A、B、C的值已知(2x+4)/[x(x-1)(x+2)]=A/x+B/(x-1)+C(x+2)(A,B,C是常数）,求A,B,C的值 3x2+2x+5=a（x-1）2+b（x-1）+c,求a、b、c的值已知4x^2-3x+1=a(x-1)^2+b(x-1)+c,对任意x成立. 求4a+2b+c的值;