已知x满足(x-2013)²+(2015-x)²=4,则(x-2014)²-1的值是如上
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![已知x满足(x-2013)²+(2015-x)²=4,则(x-2014)²-1的值是如上](/uploads/image/z/1730628-36-8.jpg?t=%E5%B7%B2%E7%9F%A5x%E6%BB%A1%E8%B6%B3%EF%BC%88x-2013%29%26%23178%3B%2B%EF%BC%882015-x%29%26%23178%3B%3D4%2C%E5%88%99%EF%BC%88x-2014%29%26%23178%3B-1%E7%9A%84%E5%80%BC%E6%98%AF%E5%A6%82%E4%B8%8A)
已知x满足(x-2013)²+(2015-x)²=4,则(x-2014)²-1的值是如上
已知x满足(x-2013)²+(2015-x)²=4,则(x-2014)²-1的值是
如上
已知x满足(x-2013)²+(2015-x)²=4,则(x-2014)²-1的值是如上
x=2013或2015,
原式=1-1=0
(x-2013)²+(2015-x)²=4
[(x-2014)+1]²+[(x-2014)-1]²=4
(x-2014)²+2(x-2014)+1+(x-2014)²-2(x-2014)+1=4
2(x-2014)²=2
∴(x-2014)²-1=0