已知:(│x-2│-3)/(x^2-2x-15)=0,求(x-1)/(x+4)的值

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已知:(│x-2│-3)/(x^2-2x-15)=0,求(x-1)/(x+4)的值

已知:(│x-2│-3)/(x^2-2x-15)=0,求(x-1)/(x+4)的值
已知:(│x-2│-3)/(x^2-2x-15)=0,求(x-1)/(x+4)的值

已知:(│x-2│-3)/(x^2-2x-15)=0,求(x-1)/(x+4)的值
:(│x-2│-3)/(x^2-2x-15)=0
∴│x-2│-3=0 x-2=±3 x=5或x=-1
x^2-2x-15≠0 (x-5)(x+3)≠0 x≠5且x≠-3
∴取x=-1
(x-1)/(x+4)=(-1-1)/(-1+4)=-2/3

原式=:(│x-2│-3)/(x+3)(x-5)=0
得x=-1
所求=-2/3