3(x-2)^2=x(x-2)4(2x-1)^2 -(3x-2)^2=03x^2-6x+3=0已知x^2-4x+y^2-6y+13=0,求x^2+y^2的值.

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3(x-2)^2=x(x-2)4(2x-1)^2 -(3x-2)^2=03x^2-6x+3=0已知x^2-4x+y^2-6y+13=0,求x^2+y^2的值.
3(x-2)^2=x(x-2)
4(2x-1)^2 -(3x-2)^2=0
3x^2-6x+3=0
已知x^2-4x+y^2-6y+13=0,求x^2+y^2的值.

3(x-2)^2=x(x-2)4(2x-1)^2 -(3x-2)^2=03x^2-6x+3=0已知x^2-4x+y^2-6y+13=0,求x^2+y^2的值.
3(x-2)^2=x(x-2)
3(x-2)=x (x=2)
2x=6
x=3、x=2
4(2x-1)^2 -(3x-2)^2=0
[2(2x-1)-(3x-2)][2(2x-1)+(3x-2)]=0
x(7x-4)=0
x=0或x=4/7
3x^2-6x+3=0
3(x-1)^2=0
x=1
x^2-4x+y^2-6y+13=0
(x+2)^2+(y-3)^2=0
所以x=-2
y=3
x^2+y^2=4+9=13

3(x-2)^2=x(x-2)
0=3(x-2)^2-x(x-2)
0=(x-2)[3(x-2)-x]
0=(x-2)[2x-6]
0=2(x-2)(x-3)
x1=2,x2=3
2\(2x-1)^2 -(3x-2)^2=0
【(2x-1)+(3x-2)】【(2x-1)-(3x-2)】=0
5x-3=0 -x+1=0
x...

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3(x-2)^2=x(x-2)
0=3(x-2)^2-x(x-2)
0=(x-2)[3(x-2)-x]
0=(x-2)[2x-6]
0=2(x-2)(x-3)
x1=2,x2=3
2\(2x-1)^2 -(3x-2)^2=0
【(2x-1)+(3x-2)】【(2x-1)-(3x-2)】=0
5x-3=0 -x+1=0
x=3/5,x=1
3、x^2-2x+1=0
(x-1)^2=0
x1=x2=1
4\x^2-4x+y^2-6y+13=0,
x^2-4x+4+y^2-6y++9=0
(x-2)^2+(y-3)^2=0
x=2,y=3
x^2+y^2=13

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1)3(x-2)^2-x(x-2)=0
(x-2)(3x-6-x)=0
(x-2)(2x-6)=0
2(x-2)(x-3)=0
2)2^2*(2x-1)^2-(3x-2)^2=0
(4x-2)^2-(3x-2)^2=0
(4x-2+3x-2)(4x-2-3x+2)=0
x(7x-4)=0
3)(x-2)^2+(y-3)^2=0
又因为平方项均大于等于零,所以两个平方项都为零.
x=2,y=3
x^2+y^2=13

以上均给出正确答案,我在这里就不多说了。路过吧!

1.
3(x-2)^2=x(x-2)
3(x-2)^2-x(x-2)=0
(x-2)(3x-6-x)=0
2(x-2)(x-3)=0
2.
4(2x-1)^2 -(3x-2)^2=0
用平方差公式:[4x-2+3x-2][4x-2-(3x-2)]=0
x(7x-4)=0

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1.
3(x-2)^2=x(x-2)
3(x-2)^2-x(x-2)=0
(x-2)(3x-6-x)=0
2(x-2)(x-3)=0
2.
4(2x-1)^2 -(3x-2)^2=0
用平方差公式:[4x-2+3x-2][4x-2-(3x-2)]=0
x(7x-4)=0
3.
3x^2-6x+3=0
3(x^2-2x+1)=0(完全平方公式)
3(x-1)^2=0
4.
x^2-4x+y^2-6y+13=0
(x^2-4x+4)+(y^2-6y+9)=0
(x-2)^2+(y-3)^2=0
所以x=2,y=3
x^2+y^2=13

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