Quadratic equation (奧數)

👨🏻‍🏫 學術台數學

用戶25975

2011-12-11 10:00 pm

Given that α and β are the real roots of x2 + ax + b = 0. If 1/(α - 1) and 1/(1 - β) are also the roots of the equation, find the value of a2 + b2.

Choices:

A. 0
B. 1
C. 2
D. 3

更新1:

To 自由自在( 知識長 ): I did almost in the same way as you and also could not arrive one of the options. Thanks for your confirmation.

回答 (1)

用戶9112

2011-12-12 1:13 am

✔ 最佳答案

http://i1090.photobucket.com/albums/i376/Nelson_Yu/int-1686.jpg

圖片參考：http://i1090.photobucket.com/albums/i376/Nelson_Yu/int-1686.jpg

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