根号2x+y-8与|x+2y-10|互为相反数,求2x+3y的平方根..

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根号2x+y-8与|x+2y-10|互为相反数,求2x+3y的平方根..

根号2x+y-8与|x+2y-10|互为相反数,求2x+3y的平方根..
根号2x+y-8与|x+2y-10|互为相反数,求2x+3y的平方根..

根号2x+y-8与|x+2y-10|互为相反数,求2x+3y的平方根..
√2x+y-8与|x+2y-10|互为相反数,因为它们都为非负数,所以都只能为0,
则解得x=2,y=4,所以2x+3y的平方根为±4
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根号2x+y-8与|x+2y-10|互为相反数
根号2x+y-8+|x+2y-10|=0
∴﹛2x+y-8=0
x+2y-10=0
解得x=2, y=4
2x+3y=4+12=16
∴2x+3y的平方根.=±4