解分式方程(3x-6)/(x^2+x-6)=(4x+4)/(x^2-3x-4)
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解分式方程(3x-6)/(x^2+x-6)=(4x+4)/(x^2-3x-4)
解分式方程(3x-6)/(x^2+x-6)=(4x+4)/(x^2-3x-4)
解分式方程(3x-6)/(x^2+x-6)=(4x+4)/(x^2-3x-4)
(3x-6)/(x^2+x-6)=(4x+4)/(x^2-3x-4)
3(x-2)/[(x+3)(x-2)]=4(x+1)/[(x-4)(x+1)]
3/(x+3)=4/(x-4)
4(x+3)=3(x-4)
4x+12=3x-12
4x-3x=-12-12
x=-24
经检验x=-24是原方程的解
3(x-2)/(x+3)(x-2)=4(x+1)/(x-4)(x+1)
3/(x+3)=4/(x-4)
3(x-4)=4(x+3)
3x-12=4x+12
x=-24
检验:x=24是方程的解
(3x-6)/(x^2+x-6)=(4x+4)/(x^2-3x-4)
3(x-2) (x+1)(x-4)= 4(x+1)((x+3)(x-2)
3(x-4)= 4(x+3)
3/4=(x+3)/(x-4)