解下列方程:(1)x²=-4x (2)(3x-2)²=9x (3)(x-2)²=2-x
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解下列方程:(1)x²=-4x (2)(3x-2)²=9x (3)(x-2)²=2-x
解下列方程:(1)x²=-4x (2)(3x-2)²=9x (3)(x-2)²=2-x
解下列方程:(1)x²=-4x (2)(3x-2)²=9x (3)(x-2)²=2-x
(1)x²=-4x
x²+4x=0
x(x+4)=0
x=0或x=-4
(2)(3x-2)²=9x
9x²-12x+4=9x
9x²-21x+4=0
德尔塔=21²-4*4*9=297
x=(21±3√33)/18=(7±√33)/6
x=(7+√33)/6或x=(7-√33)/6
(3)(x-2)²=2-x
(x-2)²+(x-2)=0
(x-2)(x-2+1)=0
(x-2)(x-1)=0
x=2或x=1
(1)x=0, x=-4
(2)x=2/3, x=4/3
(3)x=1 x=2