初二· 解·分式方程·x-4/x-5 + x-8/x-9 = x-7/x-8 +x-5/x-6简便方法计算?
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x-4/x-5 + x-8/x-9 = x-7/x-8 +x-5/x-6 =
1+ 1/(x-5) + 1 +1/(x-9)=1+ 1/(x-8)+ 1 +1/(x-6)
1/(x-5) +1/(x-9)=1/(x-8) +1/(x-6)
1/(x-5)- 1/(x-8)=1/(x-6) -1/(x-9)
-3/(x-5)(x-8)=-3/(x-6)(x-9)
x^2-13x+40=x^2-15x+54
2x=14 x=7,9,
1+ 1/(x-5) + 1 +1/(x-9)=1+ 1/(x-8)+ 1 +1/(x-6)
1/(x-5) +1/(x-9)=1/(x-8) +1/(x-6)
1/(x-5)- 1/(x-8)=1/(x-6) -1/(x-9)
-3/(x-5)(x-8)=-3/(x-6)(x-9)
x^2-13x+40=x^2-15x+54
2x=14 x=7,9,
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