6/(x-6)=(x-6+3)/(6+x-3)如何解算

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6/(x-6)=(x-6+3)/(6+x-3)如何解算

6/(x-6)=(x-6+3)/(6+x-3)如何解算
6/(x-6)=(x-6+3)/(6+x-3)如何解算

6/(x-6)=(x-6+3)/(6+x-3)如何解算
6/(x-6)=(x-3)/(x+3)
6(x+3)=(x-6)(x-3)
6x+18=x²-9x+18
x²-15x=0
x(x-15)=0
x=0,x=15
分式方程要检验
经检验,x=0和x=15是原方程的根

6/(x-6)=(x-6+3)/(6+x-3)
6(6+x-3)=(x-6)(x-6+3)
6(x+3)=(x-6)(x-3)
6x+18=x²-9x+18
x²-15x=0
x(x-15)=0
x=0或x=15
检验,x=0和x=15是原方程的根

6/(x-6)=(x-6+3)/(6+x-3)
6/(x-6)=(x-3)/(x+3)
6(x+3)=(x-3)(x-6)
6x+18=x^2-9x+18
x^2-15x=0
x=0或x=15

6X+18=x²-9x+18
x=0
x=15