若y=√(x²-9)+√(9-x²)/(x-3)+2,求(x+y)^2013的值
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若y=√(x²-9)+√(9-x²)/(x-3)+2,求(x+y)^2013的值
若y=√(x²-9)+√(9-x²)/(x-3)+2,求(x+y)^2013的值
若y=√(x²-9)+√(9-x²)/(x-3)+2,求(x+y)^2013的值
1、根据被开方数为非负数得
x²-9≥0 9-x²≥0
分母不为0得x-3≠0
所以
x²-9=0
x=3(舍去) x=-3
y=0+2=2
于是
(x+y)^2013
=(-3+2)^2013
=-1