已知I3x+2y+3I+(5y+2x-9)^2=0,求x^2+y^2的值.

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 00:43:08

已知I3x+2y+3I+(5y+2x-9)^2=0,求x^2+y^2的值.
已知I3x+2y+3I+(5y+2x-9)^2=0,求x^2+y^2的值.

已知I3x+2y+3I+(5y+2x-9)^2=0,求x^2+y^2的值.
I3x+2y+3I+(5y+2x-9)^2=0
I3x+2y+3I=0
3x+2y+3=0
3x+2y=-3.1
(5y+2x-9)^2=0
5y+2x-9=0
2x+5y=9.2
1式*2-2式*3得
-11y=-33
y=3
x=-3
x^2+y^2
=(-3)^2+3^2
=9+9
=18

|3x+2y+3|+(5y+2x-9)^2=0
|3x+2y+3|=0
(5y+2x-9)^2=0
3x+2y+3=0
5y+2x-9=0
6x+4y=-6
15y+6x=27
15y+4y=21
y=21/19
x=(9-5y)/2
x=(9-5*21/19)/2
x=33/19
x^2+y^2=(33/19)^2+(21/19)^2=1530/361