问题
选择题
已知(x-y)2+|2x+y-6|=0,则代数式x2-3xy+4y2的值是( )
A.0
B.4
C.8
D.16
答案
∵(x-y)2+|2x+y-6|=0
∴x-y=0 2x+y-6=0
∴x=2 y=2
∴x2-3xy+4y2
=22-3×2×2+4×22
=4-12+16
=8
故选C
已知(x-y)2+|2x+y-6|=0,则代数式x2-3xy+4y2的值是( )
A.0
B.4
C.8
D.16
∵(x-y)2+|2x+y-6|=0
∴x-y=0 2x+y-6=0
∴x=2 y=2
∴x2-3xy+4y2
=22-3×2×2+4×22
=4-12+16
=8
故选C