If the roots of the equation x^2 + 6x - 3 = 0 are a and B, then
a^2 - aB + 6a
=6
What are the steps?
F4 Maths
2011-09-25 5:59 am
回答 (1)
2011-09-25 6:08 am
✔ 最佳答案
α and β are the roots of the equation x² + 6x - 3 = 0Put x = α into the equation :
α² + 6α - 3 = 0
α² + 6α = 3 ...... [1]
Product of the roots :
αβ = -3
-αβ = 3 ...... [2]
[1] + [2] :
(α² + 6α) - αβ = 3 + 3
α² - αβ + 6α = 6
參考: 賣女孩的火柴
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