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因式分解:负x平方加4x加五
人气:184 ℃ 时间:2019-12-14 05:20:15
解答
- x ² + 4 x + 5
= - (x ² - 4 x)+ 5
= -(x ² - 4 x + 4)+ 5 + 4
= - (x - 2)² + 9
= -【(x - 2)² - 9】
= -(x - 2 + 3)(x - 2 - 3)
= - (x + 1)(x - 5)
如果会十字相乘法,就可以这样化简了:
- x ² + 4 x + 5
= - (x ² - 4 x - 5)
= -(x - 5)(x + 1)
十字相乘法:x ² + (p + q)x + p q= (x + p)(x + q)
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