若X满足(X-2013)²+(2012-X)²=3,求(X-2013)(2012-X)的值
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若X满足(X-2013)²+(2012-X)²=3,求(X-2013)(2012-X)的值
若X满足(X-2013)²+(2012-X)²=3,求(X-2013)(2012-X)的值
若X满足(X-2013)²+(2012-X)²=3,求(X-2013)(2012-X)的值
令a=x-2013
b=2012-x
则a²+b²=3
且a+b=-1
两边平方
a²+2ab+b²=1
所以2ab=1-(a²+b²)=-2
所以原式=ab=-1