1/(x+2)(x+4)+1/(x+a)(x+6)+1/(x+6)(x+8)=2/(3x+24) 解方程
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1/(x+2)(x+4)+1/(x+a)(x+6)+1/(x+6)(x+8)=2/(3x+24)解方程1/(x+2)(x+4)+1/(x+a)(x+6)+1/(x+6)(x+8)=2/(3x+24)解
1/(x+2)(x+4)+1/(x+a)(x+6)+1/(x+6)(x+8)=2/(3x+24) 解方程
1/(x+2)(x+4)+1/(x+a)(x+6)+1/(x+6)(x+8)=2/(3x+24) 解方程
1/(x+2)(x+4)+1/(x+a)(x+6)+1/(x+6)(x+8)=2/(3x+24) 解方程
1/(x+2)(x+4)+1/(x+4)(x+6)+1/(x+6)(x+8)=2/(3x+24)
两边同×2得
2/(x+2)(x+4)+2/(x+4)(x+6)+2/(x+6)(x+8)=4/(3x+24)
1/(x+2)-1/(x+4)+1/(x+4)-1/(x+6)+1/(x+6)-1/(x+8)=4/3(x+8)
1/(x+2)-1/(x+8)=4/3(x+8)
3(x+8)-3(x+2)=4(x+2)
3x+24-3x-6=4x+8
4x=10
x=2.5
检验x=2.5是方程的根
【这里采用的是拆项法,
a+x/x+1 ,x/x^2-2x-3 ,a/x^2+4x+3
*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X ||
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