当X²+2Y²-6X+2√2*Y+10=0,求4Y2/2X.2√2*Y也就是2倍根号2乘以Y

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当X²+2Y²-6X+2√2*Y+10=0,求4Y2/2X.2√2*Y也就是2倍根号2乘以Y当X²+2Y²-6X+2√2*Y+10=0,求4Y2/2X.2√2*

当X²+2Y²-6X+2√2*Y+10=0,求4Y2/2X.2√2*Y也就是2倍根号2乘以Y
当X²+2Y²-6X+2√2*Y+10=0,求4Y2/2X
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2√2*Y也就是2倍根号2乘以Y

当X²+2Y²-6X+2√2*Y+10=0,求4Y2/2X.2√2*Y也就是2倍根号2乘以Y
把10拆成9和1,得
X²+2Y²-6X+2√2*Y+9+1=0
配方
X²-6X+9+2Y²2√2*Y+1=0
化简
X²-6X+9=(x-3)^2
2Y²2√2*Y+1=(√2Y+1)^2
所以原式化简为
(x-3)^2+(√2Y+1)^2=0
所以(x-3)^2=0
解得X=3
所以(√2Y+1)^2=0
解得Y=-√2/2
所以4Y^2/2X=1/3