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若a的两个平方根是方程3x+2y=2的一组解.〈1〉求a的值,〈2〉求a的平方的算术平方根.急需``````````````````````````````````````
题目内容:
若a的两个平方根是方程3x+2y=2的一组解.〈1〉求a的值,〈2〉求a的平方的算术平方根.
急需``````````````````````````````````````优质解答
(1)
a的平方根互为相反数
互为相反数的两个数相加等于0
所以有x+y=0--(1)
又3x+2y=2--(2)
(2)-(1)×2得
(3x+2y)-(2x+2y)=2-0×2
3x+2y-2x-2y=2
x=2,所以y=-2
a=2²=4
a的值是4
(2)
根号(a²)=根号(4²)=根号16=4
即a的平方的算术平方根是4
急需``````````````````````````````````````
优质解答
a的平方根互为相反数
互为相反数的两个数相加等于0
所以有x+y=0--(1)
又3x+2y=2--(2)
(2)-(1)×2得
(3x+2y)-(2x+2y)=2-0×2
3x+2y-2x-2y=2
x=2,所以y=-2
a=2²=4
a的值是4
(2)
根号(a²)=根号(4²)=根号16=4
即a的平方的算术平方根是4
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