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解方程(X-2)/(X+3)=1-(2X-13)/(X^2-9)(X+1)/(X-1)+ 4/(X^2-1)=1 1/(2-X)=1/(X-2) - (6-X)/(3X^2-12)

分类: 作业答案 • 2022-06-09 14:01:00
问题描述：

解方程(X-2)/(X+3)=1-(2X-13)/(X^2-9)
(X+1)/(X-1)+ 4/(X^2-1)=1 1/(2-X)=1/(X-2) - (6-X)/(3X^2-12)

答

(X+1)/(X-1)+ 4/(X^2-1)=1
[(x+1)^2+4]/(x^2-1)=1
x^2+2x+1+4=x^2-1
2x=-6
x=-3

1/(2-X)=1/(X-2) - (6-X)/(3X^2-12)
1/(2-x)+1/(2-x)=-(6-x)/(3x^2-12)
2/(2-x)=-(6-x)/(3x^2-12)
2(3x^2-12)=(x-6)(2-x)
6x^2-24+x^2-8x+12=0
7x^2-8x-12=0
(7x+6)(x-2)=0
x=-6/7或x=2

答

1

答

(X+1)/(X-1)+ 4/(X^2-1)=1 1/(2-X)=1/(X-2) - (6-X)/(3X^2-12)[(X+1)^2+4]/(X^2-1)=1X^2+2X+1+4=X^2-12X=-6X=3分式要检验经检验,成立1/(2-X)=1/(X-2) - (6-X)/(3X^2-12)-1/(X-2)=1/(X-2) - (6-X)/[3(X+2)(X-2)]-2/(X...

答

x=108.5

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