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.](/uploads/image/z/1962542-38-2.jpg?t=3%28x-2%29%5E2%3Dx%28x-2%294%EF%BC%882x-1%EF%BC%89%5E2+-%EF%BC%883x-2%29%5E2%3D03x%5E2-6x%2B3%3D0%E5%B7%B2%E7%9F%A5x%5E2-4x%2By%5E2-6y%2B13%3D0%2C%E6%B1%82x%5E2%2By%5E2%E7%9A%84%E5%80%BC.)
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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