Given that the equation
││x - 2│- 1│ = c has only 3 integral solutions, find the value of c.
Maths(HKMO)
2010-01-01 3:11 am
回答 (3)
2010-01-01 3:35 am
✔ 最佳答案
| |x-2| -1|=c =>|x-2|=c+1 or 1-c=>x-2=c+1,-c-1,1-c or c-1
=>x=c+3,1-c,3-c,c+1
Since x only has 3 values.. We conclude that 3-c=c+1=>c=1
x=4,2,0
2010-01-01 10:18 am
Drawing graph can see instantly.
2010-01-01 3:33 am
Given that the equation | |x – 2| – 1| = c has only 3 integral solutions, find the value of c.
|x – 2| – 1 = c ⇒ |x – 2| = 1c, in order that it has only 3 integral solutions, c = 1
|x – 2| – 1 = c ⇒ |x – 2| = 1c, in order that it has only 3 integral solutions, c = 1
收錄日期: 2021-04-23 18:23:55
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20091231000051KK01447