F4 maths

2011-09-25 7:28 pm
If a is not equal to B and
{ a^2 = 4a + 3,
{ B^2 = 4B + 3 ,

then ( a + 1) ( B + 1 ) =

Ans: 2

What are the steps?

回答 (3)

2011-09-25 9:01 pm
✔ 最佳答案
From the information given, a and b can be viewed as the roots of the quadratic equation x^2 - 4x - 3 = 0

So, a + b = 4, ab = -3

(a + 1)(b + 1)

= (a + b) + ab + 1

= 4 - 3 + 1

= 2
2011-09-25 11:43 pm
2,NO STEPS
2011-09-25 7:46 pm
可視之為
a,b are roots of x^2-4x-3=0
a+b=4
ab=-3

(a+1)(b+1)
=ab+a+b+1
=4-3+1
=2


收錄日期: 2021-04-16 13:24:52
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110925000051KK00251

檢視 Wayback Machine 備份