若|2x+3|+(x-3y+4)²=0,求(y-1)²+x²的值

问题描述:

若|2x+3|+(x-3y+4)²=0,求(y-1)²+x²的值

x等于-3/2 Y等于5/6
最后结果是41/18

因为绝对值为正,平方也为正,两个为正的数值和要为0,只能两者均为0。所以2x+3=0,得x=-3/2
x-3y+4=0=〉-3/2-3y+4=0=>y=5/6
将两者都带入,最后的结果为41/18

2x+3=0
x-3y+4=0

x=-3/2
y=5/6

(y-1)²+x²
=1/36+9/4
=1/36+81/36
=82/36
=41/18
望采纳,O(∩_∩)O谢谢!

因为|2x+3|+(x-3y+4)²=0
所以2x+3=0 x-3y+4=0
所以x=-1.5 y=83/100
代入(y-1)²+x²
=0.17²+1.5²
=1.5289

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2x+3=0
x-3y+4=0
x=-3/2
y=5/6
(y-1)²+x²
=1/36+9/4
=1/36+81/36
=82/36
=41/18
数学辅导团为您解答,有错误请指正,

2x+3=0
x-3y+4=0
x=-3/2
y=5/6
(y-1)²+x²
=1/36+9/4
=82/36
=41/18