有條數唔識計

2010-12-19 2:59 am
It is given that f(x)=(x+k)(x-1)-2x and f(k)=k^2-3, find the value(s) of k

回答 (2)

2010-12-19 3:03 am
✔ 最佳答案
f(x)=(x+k)(x-1)-2x. Sub. x=k, f(k)=(k+k)(k-1)-2k=2k(k-1)-2k=2k^2-4k

Using the information f(k)=k^2-3,

2k^2-4k = k^2-3
k^2-4k+3=0
(k-1)(k-3)=0
k=1 or k=3
2010-12-19 3:07 am
f(k)=(k+k)(k-1)-2k

k^2-3=2k(k-1)-2k

k^2-3=2k^2-2k-2k

-3=k^2-4k

0=k^2-4k+3

k=3 or 1
參考: me~


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