（x-2)^2+(x-y+1)^2+(3x-y-5)^2的最小值

来源：学生作业帮助网编辑：六六作业网时间：2024/11/28 22:45:33

（x-2)^2+(x-y+1)^2+(3x-y-5)^2的最小值（x-2)^2+(x-y+1)^2+(3x-y-5)^2的最小值（x-2)^2+(x-y+1)^2+(3x-y-5)^2的最小值利用a&

（x-2)^2+(x-y+1)^2+(3x-y-5)^2的最小值
（x-2)^2+(x-y+1)^2+(3x-y-5)^2的最小值

（x-2)^2+(x-y+1)^2+(3x-y-5)^2的最小值
利用a²+b²≥（a+b)²/2
(x-2)^2+(x-y+1)^2+(3x-y-5)^2
=（x-2)^2+(x-y+1)^2+(y-3x+5)^2
≥（x-2)^2+（(x-y+1)+(y-3x+5)）²/2…………（ x-y+1=y-3x+5时取得等号）
=（x-2)^2+(-2x+6)²/2
=3x²-16x+22
=3(x-8/3)²+2/3
≥2/3 ……（x=8/3时取得等号）
将x=8/3代入x-y+1=y-3x+5得 y=10/3.

答案是1吗？
x=3,y=4.

x²/xy-x/y 3x/4x+y - x-2y/4x+y (1-y/y+x)÷x/y²-x² 化简 3x(x^2-x-1)-(x+1)(3x^-x) X^3(x-y)+x(y-x) x(x-y)2-(y-x)3 [2/3x-2/x+y(x+y/3x-x-y)]/x-y/x 化简：{2/3x-2/(x+y)[(x+y)/3x-x-y]}/(x+y)/x 计算2/3x-2/x+y(x+y/3x-x-y)/x-y/x 化简3x-2/(x+y)[(x+y)/3x-x-y]÷(x-y)/x 若2/x-1/y=3,求[y/x-y/x-y(x-y/x-x+y)]/x-2y/x的值 (3x-y)^2+(3x+y)(3x-y),x=1,y=-2 二元一次方程：2(x+y)-(x-y)=3 (x+y)-2(x-y)=1 (x-y)/(x+y)=3求( 3x-2y-1)/(x+y-5) 2(x+y)-3(x-y)=1 6(x+y)+(x-y)=51 {3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1 变量x,y满足约束条件,x+y>=3,x-y>=-1,2x-y (Y-X)^3*(X-Y)^m+(X-Y) ^m+1*(Y-X)^2 (x-y)^2+(x+y)(x-y) 其中 X =3 Y=-1 1/(x-y)+1/(x+y)+2x/(x^2+y^2)+4x^3/(x^4+y^4)化简函数,y=3x/(x^2+x+1) ,x