4x^2+9y^2-4x-6y+2=0,求1/√xy
问题描述:
4x^2+9y^2-4x-6y+2=0,求1/√xy
答
4x^2+9y^2-4x-6y+2=0
(4x²-4x+1)+(9y²-6y+1)=0
(2x-1)²+(3y-1)²=0
∴x=1/2 y=1/3
1/√xy=√6