x^2-2x+1=0 4x^2+13x+3=0 一般化探索规律,并一般化,写出式子.x^2-2x+1=0(x-1)(x-1)=0x=1x^2-3x+2=0(x-1)(x-2)=0x=1 x=23x^2+x-2=03(x-2/3)(x+1)=0x=2/3,x=-12x^2+5x+2=02(x+1/2)(x+2)=0x=-1/2,x=-24x^2+13x+3=04(x+1/4)(x+3)=0x=-1/4,x=-3以上.结论
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x^2-2x+1=04x^2+13x+3=0一般化探索规律,并一般化,写出式子.x^2-2x+1=0(x-1)(x-1)=0x=1x^2-3x+2=0(x-1)(x-2)=0x=1x=23x^2+x-
x^2-2x+1=0 4x^2+13x+3=0 一般化探索规律,并一般化,写出式子.x^2-2x+1=0(x-1)(x-1)=0x=1x^2-3x+2=0(x-1)(x-2)=0x=1 x=23x^2+x-2=03(x-2/3)(x+1)=0x=2/3,x=-12x^2+5x+2=02(x+1/2)(x+2)=0x=-1/2,x=-24x^2+13x+3=04(x+1/4)(x+3)=0x=-1/4,x=-3以上.结论
x^2-2x+1=0 4x^2+13x+3=0 一般化
探索规律,并一般化,写出式子.
x^2-2x+1=0
(x-1)(x-1)=0
x=1
x^2-3x+2=0
(x-1)(x-2)=0
x=1 x=2
3x^2+x-2=0
3(x-2/3)(x+1)=0
x=2/3,x=-1
2x^2+5x+2=0
2(x+1/2)(x+2)=0
x=-1/2,x=-2
4x^2+13x+3=0
4(x+1/4)(x+3)=0
x=-1/4,x=-3
以上.结论一般化,写出式子...
x^2-2x+1=0 4x^2+13x+3=0 一般化探索规律,并一般化,写出式子.x^2-2x+1=0(x-1)(x-1)=0x=1x^2-3x+2=0(x-1)(x-2)=0x=1 x=23x^2+x-2=03(x-2/3)(x+1)=0x=2/3,x=-12x^2+5x+2=02(x+1/2)(x+2)=0x=-1/2,x=-24x^2+13x+3=04(x+1/4)(x+3)=0x=-1/4,x=-3以上.结论
ax^2+(ab+ac)x+abc=0
→a(x+b)(x+c)=0
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x^4+x^3+x^2+x+1=0,x^2006+x^2005+x^2004+x^2003+x^2002
*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X ||
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