用适当的方法解下列方程:(1)x²-6x=1 (2)(x-1)(x+3)=2 (3)4(x-2)²=9(x+3)²
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![用适当的方法解下列方程:(1)x²-6x=1 (2)(x-1)(x+3)=2 (3)4(x-2)²=9(x+3)²](/uploads/image/z/1979513-17-3.jpg?t=%E7%94%A8%E9%80%82%E5%BD%93%E7%9A%84%E6%96%B9%E6%B3%95%E8%A7%A3%E4%B8%8B%E5%88%97%E6%96%B9%E7%A8%8B%EF%BC%9A%EF%BC%881%EF%BC%89x%26%23178%3B-6x%3D1+%EF%BC%882%EF%BC%89%EF%BC%88x-1%EF%BC%89%EF%BC%88x%2B3%EF%BC%89%3D2+%EF%BC%883%EF%BC%894%EF%BC%88x-2%EF%BC%89%26%23178%3B%3D9%EF%BC%88x%2B3%EF%BC%89%26%23178%3B)
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用适当的方法解下列方程:(1)x²-6x=1 (2)(x-1)(x+3)=2 (3)4(x-2)²=9(x+3)²
用适当的方法解下列方程:(1)x²-6x=1 (2)(x-1)(x+3)=2 (3)4(x-2)²=9(x+3)²
用适当的方法解下列方程:(1)x²-6x=1 (2)(x-1)(x+3)=2 (3)4(x-2)²=9(x+3)²
(1)x²-6x=1
x²-6x+9=10
(x-3)²=10
x-3=±√10
x1=3+√10,x2=3-√10
(2)(x-1)(x+3)=2
x²+3x-x-3=2
x²+2x=5
(x+1)²=6
x+1=±√6
x1=-1+√6,x2=-1-√6
(3)4(x-2)²=9(x+3)²
4(x-2)²-9(x+3)²=0
[2(x-2)+3(x+3)][2(x-2)-3(x+3)]=0
(5x+5)(-x-13)=0
x1=-1,x2=-13