问题标题:
初二上学期数学实数范围内分解因式在实数范围内分解因式1.x²+x-12.x²-2x-63.2x²+8x-74.x²-5xy+3y²5.-2x²-3x+66.4x²y²+xy-1
问题描述:

初二上学期数学实数范围内分解因式

在实数范围内分解因式

1.x²+x-1

2.x²-2x-6

3.2x²+8x-7

4.x²-5xy+3y²

5.-2x²-3x+6

6.4x²y²+xy-1

戴晓珑回答:
  1.x²+x-1   =x²+x+1/4-3/4   =(x+1/2)²-3/4   =(x+1/2+√3/2)(x+1/2-√3/2)   2.x²-2x-6   =(x²-2x+1)-7   =(x-1)²-7   =(x-1+√7)(x-1-√7)   3.2x²+8x-7   =2(x²+4x+4-15/2)   =2(x+2-√30/2)(x+2+√30/2)   4.x²-5xy+3y²   =(x²-5xy+25y²/4-13y²/4)   =(x-5y/2+√13y/2)(x-5y/2-√13y/2)   5.-2x²-3x+6   =-2(x²+3x+9/4-21/4)   =-2(x+3/2+√21/2)(x+3/2-√21/2)   6.4x²y²+xy-1   =4x²y²+xy+1/4-5/4   =(2xy+1/2+√5/2)(2xy+1/2-√5/2)
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