X>0 Y>0证1/x+1/y>=4/(x+y)X>0 Y>0 证1/x+1/y>=4/(x+y)
来源:学生作业帮助网 编辑:六六作业网 时间:2024/08/27 23:05:44
X>0Y>0证1/x+1/y>=4/(x+y)X>0Y>0证1/x+1/y>=4/(x+y)X>0Y>0证1/x+1/y>=4/(x+y)X>0Y>0证1/x+1/y>=4/(x+y)X>0Y>0证1
X>0 Y>0证1/x+1/y>=4/(x+y)X>0 Y>0 证1/x+1/y>=4/(x+y)
X>0 Y>0证1/x+1/y>=4/(x+y)
X>0 Y>0
证1/x+1/y>=4/(x+y)
X>0 Y>0证1/x+1/y>=4/(x+y)X>0 Y>0 证1/x+1/y>=4/(x+y)
本题实际考察均值不等式的运用
解法如下
因为 xy=(x+y)/{(x+y)/2}^2
即有 1/x+1/y>=4/(x+y)
X>0 Y>0证1/x+1/y>=4/(x+y)X>0 Y>0 证1/x+1/y>=4/(x+y)
x>0 y>0 x+y=1 证(x+1/x)(y+1/y)≥25/4
x>0 y>0 x+y=1,4/X+9/y最小值x>0 y>0 x+y=1,求4/X+9/y最小值
{4x-3y-10=0 3x-2y=0,{3x-4(x-y)=2 2x-3y=1,{2(x+y)-(x-y)=3 (x+y)-2(x-y)=1
{x+y=1 ,xy=-6{x(2x-3)=0,y=x²-1{(3x+4y-3)(3x+4y+3)=0,3x+2y=5{(x-y+2)(x+y)=0,x²+y²=8{(x+y)((x+y-1)=0,(x-y)(x-y-1)=0
4x+y-9>=0 ,x-y-1
如果|x-y+1|+y^2-4y+4=0,求出x,y的值
设x大于1,y大于0,x^y+x^-y=2根号二,x^y-x^-y等于?
证明:若x>0,y>0,x+y=1,则(x+1/x)(y+1/y)≥25/4
若x,y满足约束条件,x>=0,y>=0,x-y>=-1,3x+4y
x,y>0,且x+2y=1,u=(x+1/x)(y+1/(4y)最小值是:
x>0 y>0 x+y=1,4/X+9/y最小值
x>0 Y>0x+y=2求1/x+4/y的最小值
x^2-x+y^2+2y+5/4=0 求x^-1+y^0
3x+4y-5=0 x^2+y^2=1求x.y
已知3x+4y-6x-1-y=0,那么x-y=_______.
|x-2y+1|+(x+y-5)²=0,则5x+4y=
已知x,y大于0,x+4y=1,求x*y最大值.