x^2 4-y^2=1,则3x^2-2xy的取值范围

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/06 06:20:32
x^2 4-y^2=1,则3x^2-2xy的取值范围
2(x+y) 3x+3y=24 x+y/2x x y/2y= 1

由2(X+Y)3X+3Y=24得:2(X+Y)X+Y=8①;(X+Y/2X)XY/2Y=1得:X+Y=4②;由①、②得出Y=8(1-X),进入②知X=4/7;即Y=24/7

若全集I={(x,y)|x,y∈R},集合M={(x,y)|(y-3)/(x-2)},N{(x,y)|y=x=1},则(

N={(1,1)},M={(x,y)|y-3=x-2},即M={(x,y)|y-x-1=0},CIM即为除直线外的所有的(x,y),CIN即为除(1,1)外的(x,y),所以(CIM)∩((CIM))

设x>1,y>0,若x^y+x^-y=2根号2,则x^y-x^-y等于

Dx^y+x^-y=2根号2===>(x^y+x^-y)^2=8===>x^2y+x^-2y+2=8===>x^2y+x^-2y=6(x^y-x^-y)^2=x^2y+x^-2y-2=6-2=4==>

若x,y满足|2x-y-3|+|3x+2y+1|=0,则x= y=

2x-y-3=3x+2y+1=0,x=5/7,y=-11/7

|2x+y+1|+√2y+3x=0则x.y=

由于绝对值与根号的非负性∴2x+y=-13x+2y=0解得x=-2y=3x*y=-6

若实数x,y满足2x*X+3y*y=1,S=3x*x-2y*y,则S的取值范围为

2x*X+3y*y=1,S=3x*x-2y*yS=3x*x-2((1-2x*x)/3)=13*x*x/3-2/32x*X+3y*y=1,即X*X/(1/2)+y*y/(1/3)=1这是一个椭圆其中a=

设y=x(x-1)(x-2)(x-3)——(x-n),则y^(n+1)=?

那个^(n+1)是指求(n+1)阶导数吧.y=x(x-1)(x-2)...(x-n)是(n+1)阶多项式.其中x的(n+1)次幂的系数是1.x的(n+1)次幂对x求(n+1)阶导数,结果为(n+1)!

2x+3y-1=y-x-8=x+6,则x=

2x+3y-1=y-x-8y-x-8=x+6这是一个二元一次方程组解得:3x+2y=-72x-y=-14解得x=-5y=4所以2x+3y-1=y-x-8=x+6,则x=-5

函数,y=3x/(x^2+x+1) ,x

y=3/(x+1/x+1)x+1/x≤-2,所以x+1/x+1≤-1令t=x+1/x+1,则t≤-1,y=3/t值域为[-3,0)再问:你写的我看不大懂再问:一步步写再答:

已知1/x-1/y=3,则代数式x(2-7y)-y(7x+2)/x(1-y)-y(x+1)的值为多少.

[x(2--7y)--y(7x+2)])/[x(1-y)--y(x+1)]=(2x--7xy--7xy--2y)/(x--xy--xy--y)=(2x--2y--14xy)/(x--y--2xy)=2

若x+y=-1,则x^4+5x^3y+x^2y+8x^2y^2+xy^2+5xy^3+y^4=( )

=(x^4+x^3y)+(y^4+xy^3)+(4x^3y+4x^2y^2)+(4xy^3+4x^2y^2)+x^2y+xy^2=x^3(x+y)+y^3(x+y)+4x^2y(y+x)+4xy^2(

先化简再求值(x-y)(x+y)-(x-2y) 的完全平方+x(3x-5y)-(x-y)(x-2y),其中x=1/2 y

解(x-y)(x+y)-(x-2y)²+x(3x-5y)-(x-y)(x-2y)=(x²-y²)-(x²-4xy+4y²)+(3x²-5xy

若X+6=Y-X-8=2X-3Y-1,则3X-Y=?

X+6=Y-X-8,所以2X-Y+14=0;Y-X-8=2X-3Y-1,所以3X-4Y+7=0;联立,可得X=-119/10;Y=-49/5再问:那3X-Y?再答:下面你不会吗?3X=-357/10,

{3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1

3(x+y)-4(x-y)=4(x+y)/2+(x-y)/6=1令a=x+y,b=x-y3a-4b=4(1)a/2+b/6=1则3a+b=6(2)(2)-(1)5b=2b=2/5a=(6-b)/3=2

已知x+y+2(-x-y+1)=3(1-y-x)-4(y+x-1),则x+y等于(  )

方法1:∵x+y+2(-x-y+1)=3(1-y-x)-4(y+x-1)∴x+y-2x-2y+2=3-3y-3x-4y-4x+4∴-x-y+2=7-7y-7x∴6x+6y=5∴x+y=56方法2:∵x

若(x-y)/(x+y)=3 则(x+2y)/(6x-7y)等于

若(x-y)/(x+y)=3那么x-y=3(x+y)x-y=3x+3y故x=-2y所以(x+2y)/(6x-7y)=(-2y+2y)/(6*(-2y)-7y)=0如果不懂,请Hi我,祝学习愉快!

若2x-3y+4=0则x(x*x-1)+x(5-x*x)-6y+7

x(x*x-1)+x(5-x*x)-6y+7=-x+5x-6y+7=2(2x-3y)+7=2*(-4)+7=-8+7=-1再问:能在写详一点吗-x+5x-6y+7再答:x(x*x-1)+x(5-x*x

函数y=3x/(x^2+x+1) (x

原式可以化为:y*x^2+(y-3)*x+1=0Δ=(y-3)^2-4y≥0解得y≥9或y≤1由于x

已知x=1/3,y=-1/2,求代数式x-(x+y)+(x+2y)-(x+3y)+(x+4y)-(x+5y)+...-(

原式=x-x+x-x+……-x+(2-1+4-3+5-4+……+2008-2007-2009)y=0+(1×1004-2009)y=-1005y=1005/2