已知2016x加y的平方与2分之一x加2分之3y减一的绝对值
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1/2再答:再问:谢谢了,问题解决了
先把求的式子化简,得:十二分之一a³加b平方因为与x取值无关,所以2x²+ax-2bx²+3x=0求得b=1,a=-3代入,原式=-5/4
xy+x²+y²=[(x+y)²-(x-y)²]/4+[(x+y)²+(x-y)²]/2=[3(x+y)²+(x-y)²
x^2+2x+y^2-6y+10=0=(x^2+2x+1)+(y^2-6y+9)=0=(x+1)^2+(y^2-6y+3^2)=0=(x+1)^2+(y-3)^2=0x=-1y=3xy=-3
1.x^2+y^2=(x+y)^2-2xy=4-1=3(x-y)^2=(x+y)^2-4xy=4-2=22.(a+b)^2=7a^2+b^2+2ab=71式(a-b)^2=3a^2+b^2-2ab=3
x^2-2x+y^2+6y+10=0x^2-2x+1+y^2+6y+9=0(x-1)^2+(y+3)^2=0x-1=0,y+3=0x=1,y=-3(x-y)/(x+y)=4/(-2)=-2
再问:是这样的吗再答:是
x^2+y^2+4x+2by+b^2=0(x^2+4x+4)+(y^2+2by+b^2)=4(x+2)^2+(y+b)^2=4圆心坐标为(-2,-b),半径为2圆x轴相切∴|b|=2∴b=±2
x²-xy=9,xy-y²=3x²-y²=(x²-xy)+(xy-y²)=9+3=12x²-2xy+y²=(x²
x方+y方+5/4=2x+y(x方-2x+1)+(y方-y+1/4)=0(x-1)方+(y-1/2)方=0x=1,y=1/2xy/(x+y)=1/3
由柯西不等式有:(4X+3Y)^2
问题求什么?再问:求x加y的值再答:x^2-2x+1+y^2-6y+9=0(x-1)^2+(y-3)^2=0x=1y=32x+3y=11
x+y-2=x^2+axy+by^2-5x+y+6x+y-2是x^2+axy+by^2-5x+y+6的因式当x+y-2=0时,x^2+axy+by^2-5x+y+6=0令x=y=1,x+y-2=0x^
x^2+4x+y^2-2y+5=0(x^2+4x+4)+(y^2-2y+1)=0(x+2)^2+(y-1)^2=0x=-2,y=1x^2+y^2=(-2)^2+1^2=4+1=5
x^2+2x+x^2y^2+2=-2xy,移项得x^2+2x+x^2y^2+2+2xy=0,凑平方得(x+1)^2+(xy+1)^2=0,于是得到x=-1,xy=-1,进一步得到y=1,于是,x^20
(x+y)平方=x平方+2xy+y平方=13(x-y)平方=x平方-2xy+y平方=9两式相加得2(x平方+y平方)=22,x平方+y平方=11两式相减得4xy=4,xy=1
x的平方加y的平方加2x-6y+10=0即:(x+1)^2+(y-3)^2=0所以:x=-1,y=3.所以:x+y=2.
y=k(x^2+1)x=2y=10代入得:K=2故:y=2(x^2+1)再问:我想要一下过程,那个^是什么呀?再答:x的平方
由题意可得x²+y²+2x+6y+10=0(x+1)²+(y+3)²=0所以x=-1,y=-3