(1)x^2+y^2-4x+2y+5=0,则x+2y= (2)-3x^2+6xy-3y^2(3)因式分解的应用:解方程2x^2=3x
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![(1)x^2+y^2-4x+2y+5=0,则x+2y= (2)-3x^2+6xy-3y^2(3)因式分解的应用:解方程2x^2=3x](/uploads/image/z/2545509-21-9.jpg?t=%EF%BC%881%EF%BC%89x%5E2%2By%5E2-4x%2B2y%2B5%3D0%2C%E5%88%99x%2B2y%3D+%EF%BC%882%EF%BC%89-3x%5E2%2B6xy-3y%5E2%EF%BC%883%EF%BC%89%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E7%9A%84%E5%BA%94%E7%94%A8%EF%BC%9A%E8%A7%A3%E6%96%B9%E7%A8%8B2x%5E2%3D3x)
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(1)x^2+y^2-4x+2y+5=0,则x+2y= (2)-3x^2+6xy-3y^2(3)因式分解的应用:解方程2x^2=3x
(1)x^2+y^2-4x+2y+5=0,则x+2y= (2)-3x^2+6xy-3y^2
(3)因式分解的应用:解方程2x^2=3x
(1)x^2+y^2-4x+2y+5=0,则x+2y= (2)-3x^2+6xy-3y^2(3)因式分解的应用:解方程2x^2=3x
(1)x²+y²-4x+2y+5=0
x²-4x+4+y²+2y+1=0
(x-2)²+(y+1)²=0
∵(x-2)²≥0,(y+1)²≥0
∴x-2=0,y+1=0
∴x=2,y=-1.
∴x+2y=2+2×(-1)=0
(2)-3x²+6xy-3y²
=-3(x²-2xy+y²)
=-3(x-y)²
(3)2x²=3x
2x²-3x=0
x(2x-3)=0
∴x=0或2x-3=0
∴方程的解为x=0或x=1.5