若2/x+8/y=1(x>0,y>0),则x+y的最小值是
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/31 18:33:25
![若2/x+8/y=1(x>0,y>0),则x+y的最小值是](/uploads/image/z/1786212-36-2.jpg?t=%E8%8B%A52%2Fx%2B8%2Fy%3D1%28x%3E0%2Cy%3E0%29%2C%E5%88%99x%2By%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E6%98%AF)
x){ѽHBBP@@Si
ZixiÞg3$铤^Άtg
Ov/* PYME~Q%H"dh(qLUcXX`sζ5/.H̳t1:B{isV<1V L}gӷ=|u7 ʯ
若2/x+8/y=1(x>0,y>0),则x+y的最小值是
若2/x+8/y=1(x>0,y>0),则x+y的最小值是
若2/x+8/y=1(x>0,y>0),则x+y的最小值是
2/x+8/y=1
所以x+y=(x+y)(2/x+8/y)
=2+8x/y+2y/x+8
=10+(8x/y+2y/x)
8x/y>0,2y/x>0
所以 8x/y+2y/x>=2√(8x/y*2y/x)=8
所以x+y>=10+8
所以最小值=18
x+y=(x+y)(2/x+8/y)=10+8x/y+2y/x≥18
等号在且仅在x=6 y=12时成立
若|x+y-1|+(x-y-2)²=0,求代数式(x+2y)(x-2y)-(2x-y)(-y-2x)的值.
若x-y不等于0,2x-3y=0,则分式(10x-11y)/(x-y)的值是()?(10x-11y)/(x-y) =[(8x-8y)+(2x-3y)]/(x-y) =8为什么8X-8Y=8?(10x-11y)/(x-y)=[(8x-8y)+(2x-3y)]/(x-y)=8+(2x-3y)]/(x-y)=8+0=8
已知x^2+y^2-8x+12y+52=0 ,求1/2x-1/x-y(x-y/2x-x^2+y^2)
已知x^2+y^2-8x+12y+52=0 ,求1/2x-1/x-y(x-y/2x-x^2+y^2)
{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
若x+y=1,x不等于0则x+(2xy+y^2)/x/(x+y)/x=
若(x*x+y*y)(x*x+y*y)-4x*x*y*y=0,求代数式(x*x+5xy+y*y)/(x*x+2xy+y*y)的值
已知X*X+Y*Y+6X-8Y+25=0 求(Y/X)+(X/Y)-2=?
x*x+2x-y*y+6y-8=0,x+y不等于2,求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?
若x^2+y^2-6x+8y+25=0 则y/x-x/y的值是
若x,y满足|2x-y-3|+|3x+2y+1|=0,则x= y=
若x,y满足|x-y+1|+(x+y+3)^2=0则x^2-y^2=
若x,y为正数,且2*x+8*y-x*y=0,求x+y的最小值
设x>0,y>0,x+y=1,求8/x+2/y的最小值
x>0,y>0,x+y=1,求8/x+2/y的最小值?
若|x+y+1|+(x-2y)的平方=0,则x+2y=?
x^+2x+1+y^2-8y+16=0求y/x