已知X²+Y²-10X-2Y+26=0,求X²Y²方的算术平方根.

已知X²+Y²-10X-2Y+26=0,求X²Y²方的算术平方根.
已知X²+Y²-10X-2Y+26=0,求X²Y²方的算术平方根.

已知X²+Y²-10X-2Y+26=0,求X²Y²方的算术平方根.
x²+y²-10x-2y+26=0
x²-10x+25+y²-2y+1=0
(x-5)²+(y-1)²=0
x-5=0 x=5
y-1=0 y=1
√(x²y²)=|xy|=|5|=5

X二次+Y二次-10X-2Y+25+1=0
（X二次-10X+25）+（Y二次-2Y+1)=0
(X-5)平方+（Y-1）平方=0
所以 X-5=0 Y-1=0
所以X=5 Y=1