[x方加4x加y方减6y加18]的最小值-搜答案-拍题作业网

(x²+y²+1)(x²+y²+3)=8(x²+y²)²+3(x²+y²)+(x²+y²)

(x-2)²+(y-3)²=1x=2+cosay=3+sinax²+y²=6sina+4cosa+14=√(6²+4²)sin(a+b)+1

已知x方加y方减2x加4y等于-5x方+y方-2x+4y+5=0x方-2x+1+y方+4y+4=0(x-1)方+(y+2)方=0所以x-1=0,y+2=0所以x=1,y=-2如果不懂,请追问,祝学习愉

见图

3x^2+2xy+y^2-6x-6y+9=0(x+y)^2-6(x+y)+9=0(x+y-3)^2=0x+y=3

X²+4X+Y²-6Y+13=0X²+4X+4+Y²-6Y+9=0（X+2）²+（Y-3）²=0X=-2,Y=3

X2-4X+Y2+6Y+13=0（X-2）2+（Y+3）2=0∴有X-2=0,X=2Y+3=0,Y=-3

14=1+4+9所以(x²-2x+1)+(y²+4y+4)+(z²+6z+9)=0(x-1)²+(y+2)²+(z+3)²=0平方大于等于0

再问：图片看不全再答：能看到了吧？

(x^2+5)/√(x^2+4)=√(x^2+4)+1/√(x^2+4)令t=√(x^2+4),则t≥2y=t+1/t单调递增,t=2时,ymin=5/2再问：那个x方加5怎么就等于根号x方加4加1再

x²+2xy+4y²+x²y²+1=8xy(x²-4xy+4y²)+(x²y²-2xy+1)=0(x-2y)²

先分解因式,后乘法.(X^4-Y^4)/(X^3+X^2Y+XY^2+Y^3)=(X-Y)(X+Y)(X^2+Y^2)/(X^3+X^2Y+XY^2+Y^3)=(X-Y)(X^3+X^2Y+XY^2+

x二次方加y的二次方减6x加4y加13的平方根等于零x^2+y^2-6x+4y+13=0x^2-6x+9+y^2+4y+4=0(x-3)^2+(y+2)^2=0x-3=0,y+2=0x=3,y=-2x

X^2+y^2=4求式=x^2-2√3-y^2=x^2-2√3-4+x^2=2x^2-2√3-4而x^2≤4则X^2=4时,原式最大为-2√3

方法一：x^4＋y^4＋（x＋y）^4＝（x^4＋2x^2y^2＋y^4）－2x^2y^2＋（x^2＋2xy＋y^2）^2＝［（x^2＋y^2）^2－（xy）^2］＋［（x^2＋y^2＋2xy）^2－

(x＋y)/(x)=31＋(y/x)=3得：y/x=2则：(x²＋y²)/(x²－xy＋y²)【分子分母同除以x²】=[1＋(y/x)²]/

（x^2+y^2）*(x^2-1+y^2)-12=0可以设x^2+y^2=z那么有z(z-1)=12z^2-z-12=0(z-4)(z+3)=0z=4或z=-3但z是平方和一定大于0所以z=4记得采纳

X方加2XY加2Y方减4Y加5=(X²+2XY+Y²)+(Y²-4Y+4)+1=(X+Y)²+(Y-2)²+1当Y=2,X=-2时,原式的值最小,为1

2x^2+xy-y^2-4x+5y-6双十字相乘法,2x^2+xy-y^2-4x+5y-62x-y2xy-3（2x-y+2)(x+y-3)或者待定系数法.有问题追问再问：谢谢谢谢谢谢谢你再答：不用谢