若x,y满足下面关系式:✔x-y+✔y-x+3=y-2,求3x+2y的算数平方根.
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![若x,y满足下面关系式:✔x-y+✔y-x+3=y-2,求3x+2y的算数平方根.](/uploads/image/z/963973-37-3.jpg?t=%E8%8B%A5x%2Cy%E6%BB%A1%E8%B6%B3%E4%B8%8B%E9%9D%A2%E5%85%B3%E7%B3%BB%E5%BC%8F%3A%26%2310004%3Bx-y%2B%26%2310004%3By-x%2B3%3Dy-2%2C%E6%B1%823x%2B2y%E7%9A%84%E7%AE%97%E6%95%B0%E5%B9%B3%E6%96%B9%E6%A0%B9.)
若x,y满足下面关系式:✔x-y+✔y-x+3=y-2,求3x+2y的算数平方根.
若x,y满足下面关系式:✔x-y+✔y-x+3=y-2,求3x+2y的算数平方根.
若x,y满足下面关系式:✔x-y+✔y-x+3=y-2,求3x+2y的算数平方根.
∵√x-y+√y-x+3=y-2
∴x-y≥0、y-x≥0
∴x-y=0
∴y=5、x=5
√(3x+2y)=√(15+10)=√25=5
若x,y满足下面关系式:✔x-y+✔y-x+3=y-2,
因为x-y≥0,y-x≥0
所以
x-y=0
即x=y
从而
0+0+3=y-2
y=5
x=5
3x+2y=15+10=25
它的算术平方根=5.