4x^2+4x+y^2-2y+2=0,则x^3y-y^3x得值是?若x^2(x-3)+3x-9能被x-a整除,则a的值是多少?
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![4x^2+4x+y^2-2y+2=0,则x^3y-y^3x得值是?若x^2(x-3)+3x-9能被x-a整除,则a的值是多少?](/uploads/image/z/5254757-53-7.jpg?t=4x%5E2%2B4x%2By%5E2-2y%2B2%3D0%2C%E5%88%99x%5E3y-y%5E3x%E5%BE%97%E5%80%BC%E6%98%AF%3F%E8%8B%A5x%5E2%28x-3%29%2B3x-9%E8%83%BD%E8%A2%ABx-a%E6%95%B4%E9%99%A4%2C%E5%88%99a%E7%9A%84%E5%80%BC%E6%98%AF%E5%A4%9A%E5%B0%91%3F)
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4x^2+4x+y^2-2y+2=0,则x^3y-y^3x得值是?若x^2(x-3)+3x-9能被x-a整除,则a的值是多少?
4x^2+4x+y^2-2y+2=0,则x^3y-y^3x得值是?
若x^2(x-3)+3x-9能被x-a整除,则a的值是多少?
4x^2+4x+y^2-2y+2=0,则x^3y-y^3x得值是?若x^2(x-3)+3x-9能被x-a整除,则a的值是多少?
4x^2+4x+y^2-2y+2= (4x^2+4x+1)+(y^2-2y+1)=(2x+1)^2+(y-1)^2=0
2x+1=0,y-1=0,x=-1/2,y=1
x^3y-y^3x=xy(x+y)(x-y)=-1/2*1/2(-3/2)=3/8
x^2(x-3)+3x-9=x^2(x-3)+3(x-3)=(x-3)(x^2+3) a=3
4x^2+4x+y^2-2y+2=0,则x^3y-y^3x得值是?
(4x^2+4x+1)+(y^2-2y+1)=0
(2x+1)^2+(y-1)^2=0
2x+1=0
y-1=0
x=-1/2,y=1
x^3y-y^3x=xy(x^2-y^2)=-1/2(1/4-1)=3/8
若x^2(x-3)+3x-9能被x-a整除,则a的值是多少?
x^3-3x^2+3x-9=x^2(x-3)+3(x-3)=(x^2+3)(x-3)
所以可知a=-3
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