已知x,y满足x^2+y^2-2x-y+5/4=0,求代数式xy(x+y)的值
来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 02:22:20
已知x,y满足x^2+y^2-2x-y+5/4=0,求代数式xy(x+y)的值已知x,y满足x^2+y^2-2x-y+5/4=0,求代数式xy(x+y)的值已知x,y满足x^2+y^2-2x-y+5/
已知x,y满足x^2+y^2-2x-y+5/4=0,求代数式xy(x+y)的值
已知x,y满足x^2+y^2-2x-y+5/4=0,求代数式xy(x+y)的值
已知x,y满足x^2+y^2-2x-y+5/4=0,求代数式xy(x+y)的值
解
x²+y²-2x+y+5/4=0
(x²-2x+1)+(y²+y+1/4)=0
(x-1)²+(y+1/2)²=0
∴x-1=0,y+1/2=0
∴x=1,y=-1/2
∴xy(x+y)
=1×(-1/2)(1-1/2)
=-1/2×(1/2)
=-1/4
已知实数x.y满足(x+2)^2+y^2(
已知圆x,y满足x^2+y^2
已知x,y满足x+y-2>=0,2x-y+2>=0,x
已知x,y满足约束条件:x-y+1>=0,x+y-2>=0,x
已知x.y满足X2-y2=2xy.则x-y/x+y=?x.
已知实数X,Y满足2
已知实数xy满足x+2y
已知实数xy满足 x+y-2
已知实数x,y满足不等式组:2x-y=0,x+2y
已知实数x,y满足约束条件:x>=2 y>=2 x+y
已知正整数x,y满足2^x+49=y^2,则x=,y=?
已知实数x,y满足x+y>=2,x-y
已知x,y 满足约束条件y>=2|x|,x+y-1
已知实数X,Y满足X+Y>=2,X-Y
已知实数x,y满足y=|x-1|,则x+2y的最大值是
已知正整数x,y满足:xy-x-y=0,则x+2y的最小值
已知实数x,y满足x+y>=2,x-y
已知正数x,y满足2x+8y-xy=0,x+y的最小值