已知(4x-2y-1)^2+根号xy-2=0,求4x^2y-4x^2y^2+xy^2的值.

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/20 01:28:07
已知(4x-2y-1)^2+根号xy-2=0,求4x^2y-4x^2y^2+xy^2的值.
xPJ@~ -ͺH

已知(4x-2y-1)^2+根号xy-2=0,求4x^2y-4x^2y^2+xy^2的值.
已知(4x-2y-1)^2+根号xy-2=0,求4x^2y-4x^2y^2+xy^2的值.

已知(4x-2y-1)^2+根号xy-2=0,求4x^2y-4x^2y^2+xy^2的值.
已知(4x-2y-1)^2+根号xy-2=0
则4x-2y-1=0
xy-2=0
4x^2y-4x^2y^2+xy^2=xy(4x-4xy+y)=2(4x-8+y)
是不是有数字错了,谢谢告知!


∵(4x-2y-1)²+√(xy-2)=0
∴4x-2y-1=0 (xy-2)=0
∴½y²+y/4-2=0
即:2y²+y-8=0
∴y=(-1±√65)/4
∴4x²y-4x²y²+xy²
=4x×2-4×2²+2y
=8x+2y-16
=8x-4y-2+6y-14
=6y-14
=6×(-1±√65)/4-14
=3(-1±√65)/2-14