Question

6/(x-6)=(x-6+3)/(6+x-3)如何解算

Answer 1

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