解方程 :(+5)(x-5)-(x-1)²=24
问题描述:
解方程 :(+5)(x-5)-(x-1)²=24
答
(+5)(x-5)-(x-1)²=24
(x-1)²-5[(x-1)-4]+24=0
(x-1)²-5(x-1)-20+24=0
(x-1)²-5(x-1)+4=0
[(x-1)-1][(x-1)-4]=0
(x-2)(x-5)=0
x1=2,x2=5
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