計　|x^2-5x＋5|=1

👨🏻‍🏫 學術台數學

Lawrence Tang

2006-10-23 4:26 am

計　|x^2-5x＋5|=1

回答 (2)

Ricky

2006-10-23 4:31 am

✔ 最佳答案

|x^2-5x＋5|=1

x^2-5x+5 = 1 or x^2-5x+5 = -1
x^2-5x+4 = 0 x^2-5x+6 = 0
(x-1)(x-4) = 0 (x+1)(x-6) = 0
x=1 or 4 x= -1 or 6
therefore: x = -1,1,4 or 6

參考: Myself~

👍 0 👎 0

用戶105060

2006-10-23 4:37 am

x^2-5x+5=1 and x^2-5x+5=-1
x^2-5x+5=1
x^2-5x+4=0
(x-1)(x-4)=0
x=1 or x=4
x^2-5x+5=-1
x^2-5x+6=0
(x-2)(x-3)=0
x=2 or x=3
so x=1,2,3and4

參考: 自己

👍 0 👎 0