x=√4+√4+√4+… (15點)

2008-11-15 10:21 pm
x=√4+√4+√4+…

x^2= 4+√4+√4+…

咁之後應該點做?

回答 (2)

2008-11-15 10:25 pm
✔ 最佳答案
x = √4 + √4 + √4 + … ─── (1)x2 = 4 + √4 + √4 + … ─── (2)

(2) - (1):

x2 - x = 4

x2 - x - 4 = 0

x = {[-(-1)] +- √[(-1)2 - 4(1)(-4)]} / 2

x = [1 +- √17] / 2

因x是正數,所以,x = (1 + √17) / 2


2008-11-15 15:04:12 補充:
下面的朋友做錯了。就算數值對,也要捨去負數的答案,因為x是正數的總和。
參考: Myself~~~
2008-11-15 10:31 pm
x=√4+√4+√4+…

x^2= 4+√4+√4+…

x^2=4+x

x^2-x+4=0

x=1+-√1^2-4(1)(4)/2(1)

x=(1+-√-15)/2

2008-11-15 14:31:45 補充:
= =丫...係減4 = =做錯左- -你睇上面個位人兄先岩....


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