已知x^2+4y^2-4x+4y+5=0,求(2x^2+xy-y^2分之x^4-y^4)乘以(xy-y^2分之2x-y)
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已知x^2+4y^2-4x+4y+5=0,求(2x^2+xy-y^2分之x^4-y^4)乘以(xy-y^2分之2x-y)÷(y分之x^2+y^2)^2的值
已知xyz≠0,x+3y+7z=0,3x-4y-18z=0,求(x^2+2y^2+8z^2)分之(3x^2+5y^2+6z^2)的值
已知xyz≠0,x+3y+7z=0,3x-4y-18z=0,求(x^2+2y^2+8z^2)分之(3x^2+5y^2+6z^2)的值
x^2+4y^2-4x+4y+5=0,
(x-2)^2+(2y+1)^2=0,
x=2,y=-1/2,
(2x^2+xy-y^2分之x^4-y^4)*(xy-y^2分之2x-y)/[(x^2+y^2)/y]^2
=[(x-y)(x+y)(x^2+y^2)/(2x-y)(x+y)](2x-y)/([y(x-y)]*y^2/(x^2+y^2)^2
=y/(x^2+y^2)
=(-1/2)/(2^2+1/4)=-2/17.
x+3y+7z=0,3x-4y-18z=0,
x=2z,y=-3z,
(3x^2+5y^2+6z^2)/(x^2+2y^2+8z^2)
=(12z^2+45z^2+6z^2)/(4z^2+18z^2+8z^2)
=21/10.
(x-2)^2+(2y+1)^2=0,
x=2,y=-1/2,
(2x^2+xy-y^2分之x^4-y^4)*(xy-y^2分之2x-y)/[(x^2+y^2)/y]^2
=[(x-y)(x+y)(x^2+y^2)/(2x-y)(x+y)](2x-y)/([y(x-y)]*y^2/(x^2+y^2)^2
=y/(x^2+y^2)
=(-1/2)/(2^2+1/4)=-2/17.
x+3y+7z=0,3x-4y-18z=0,
x=2z,y=-3z,
(3x^2+5y^2+6z^2)/(x^2+2y^2+8z^2)
=(12z^2+45z^2+6z^2)/(4z^2+18z^2+8z^2)
=21/10.
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