解方程：x-12=[x-(x-12)]/(x-12)

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解方程：x-12=[x-(x-12)]/(x-12)
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解方程：x-12=[x-(x-12)]/(x-12)
解方程：x-12=[x-(x-12)]/(x-12)

解方程：x-12=[x-(x-12)]/(x-12)
设y=x-12
y=(y+12-y)/y
=12/y
y²＝12
y=2√3
x-12=2√3
x=12+2√3

x-12=[x-(x-12)]/(x-12)
(x-12)(x-12)=12
x-12=±2√3
x=12±2√3
经检验x=12±2√3是原方程的解。