已知X,Y满足3|2X-Y|+(Y-1/3)的平方=0,求3X-7Y的值
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已知X,Y满足3|2X-Y|+(Y-1/3)的平方=0,求3X-7Y的值已知X,Y满足3|2X-Y|+(Y-1/3)的平方=0,求3X-7Y的值已知X,Y满足3|2X-Y|+(Y-1/3)的平方=0,
已知X,Y满足3|2X-Y|+(Y-1/3)的平方=0,求3X-7Y的值
已知X,Y满足3|2X-Y|+(Y-1/3)的平方=0,求3X-7Y的值
已知X,Y满足3|2X-Y|+(Y-1/3)的平方=0,求3X-7Y的值
因为X,Y满足3|2X-Y|+(Y-1/3)的平方=0
又有|2X-Y|和(Y-1/3)^2 均大于等于零(则3|2X-Y|也大于等于零)
所以3|2X-Y|和(Y-1/3)^2只能是均等于零
则3|2X-Y|=0 (Y-1/3)^2=0
|2X-Y|=0 (Y-1/3)^2=0
2X-Y=0 Y-1/3=0
解得x=1/6
y=1/3
所以3X-7Y=3*1/6+7*1/3=13/3
原理是用绝对值和平方恒大于等于0,中有算术错误请原谅
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