3-2x^2-4x 因式分解

2024-12-30 06:42:32
推荐回答(4个)
回答1:

由x=√3-1  得x²=4-2√3
则x²+2x=4-2√3+2√3-2=2
(3-2x²-4x)/(x²+2x-1)
= [3-2(x²+2x)]/(x²+2x-1)
= (3-4)/(2-1)=-1

回答2:

3-2x^2-4x
=-2[x+½(2-√10)][x+½(2+√10)]

回答3:

解:﹣2x²-4x+3
=﹣2﹙x²+2x+1-5/2﹚
=﹣2[﹙x+1﹚²-﹙√10/2﹚²]
=﹣2﹙x+1-√10/2﹚﹙x+1+√10/2﹚

回答4:

十字相乘法即可求出