解方程 :(+5)(x-5)-(x-1)²=24

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解方程 :(+5)(x-5)-(x-1)²=24

解方程 :(+5)(x-5)-(x-1)²=24
解方程 :(+5)(x-5)-(x-1)²=24

解方程 :(+5)(x-5)-(x-1)²=24
(+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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(x+5)(x-5)-(x-1)²=24
x^2-25-x^2-1+2x=24
2x=50
x=25

(x+5)(x-5)-(x-1)²=24
x²-25-(x²-2x+1)=24
x²-25-x²+2x-1=24
2x=24+25+1
2x=50
x=25

(x+5)(x-5)-(x-1)²=24
(x^2-25)-(x^2-2x+1)=24
-25+2x-1=24
2x=50
x=25