若x²+4y²+2x-4y+2=0,求5x²+16y²的算术平方根
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若x²+4y²+2x-4y+2=0,求5x²+16y²的算术平方根
若x²+4y²+2x-4y+2=0,求5x²+16y²的算术平方根
若x²+4y²+2x-4y+2=0,求5x²+16y²的算术平方根
x²+4y²+2x-4y+2=0
x²+2x+1+4y²-4y+1=0
(x+1)²+(2y-1)²=0
x+1=0 2y-1=0
x=-1 y=1/2
于是
5x²+16y²
=5×(-1)²+16×(1/2)²
=5+4
=9