April 15th, 2012, 01:38 AM  #11 
teh

Re: 1 = 1
25 has two roots, one negative and one positive. Taking the root of 25 has only one result, the imaginary root (5i).
Also, yes, the answer is 288. I actually made a mistake writing it downthe troll logic order is 48/2 (9+3), intentionally ambiguous to fool the reader into thinking the answer is 2 instead. (48/24 = 2) edit: Because the value of i shifts every odd exponent. Code:
i^0 = 1 i^1 = i i^2 = 1 i^3 = i i^4 = 1
__________________
I ask you, is a man not entitled to his own opinion? NO, says the forum poster. It belongs to me. Last edited by Hijikata; April 15th, 2012 at 01:45 AM. 
April 15th, 2012, 01:57 AM  #12 
banned
Join Date: Jun 2011
Location: The Peg
Posts: 364

Re: 1 = 1
One of the properties of exponents I'm guessing. So that you can avoid situations such as this.

April 15th, 2012, 03:22 AM  #13 
teh

Re: 1 = 1
I mean, look at it this way:
Code:
2^2 * 2^2 = 2^4 = 16 If you were to keep the exponent fixed, you would be able to multiply the bases in the above example, but you'd be wrong if you changed the numbers: Code:
3^3 * 3^3 = 3^6 = 81 3^3 * 3^3 = (3 * 3)^3 = 729
__________________
I ask you, is a man not entitled to his own opinion? NO, says the forum poster. It belongs to me. 
April 15th, 2012, 03:59 AM  #14 
A.K.A Gatinator
Join Date: Feb 2011
Location: Cleveland
Posts: 2,131

Re: 1 = 1
If you ponder equations rather than sleep walk while laboring you will wind up a crazy janitor. They were once like us, but they chose to drive their selves mad by attempting equations.
__________________
Damn! I'm so gangsta I'm too gangsta. CBS interactive... well... I'm not permitted to express what would accurately as well appropriately define CBS interactive. Those mother... 
April 15th, 2012, 11:08 AM  #15 
hi

Re: 1 = 1
@Hijikata, that's incorrect. 3^6 = 729. The rule when multiplying exponential #'s is: If the bases are the same, you can add the exponents while keeping the base. If the exponents are the same, you can multiply the bases while keeping the exponent. (But you can't do both if both are the same).
The reason that (1)^1/2 * (1)^1/2 = (1 * 1)^1/2 is incorrect, is that in the rule Code:
√(a) * √(b) = √(a * b) a and/or b must be a positive, real #.
__________________
Last edited by NOLAftw; April 15th, 2012 at 11:09 AM. 
April 15th, 2012, 04:18 PM  #16 
teh

Re: 1 = 1
That's what I get for doing math at 5 in the morning. In this topic, I am told who is the boss.
__________________
I ask you, is a man not entitled to his own opinion? NO, says the forum poster. It belongs to me. 
April 15th, 2012, 07:48 PM  #17 
I failed the Turing test.
Join Date: Feb 2009
Location: 127.0.0.1
Posts: 5,431

Re: 1 = 1
The key here is in the definition of square root and not ignoring the fact that the square root function yields two results. The square root of a number a is y, such that y*y=a. We sort of mentally ignore one root of the square root function, but there's two. As Hiji mentioned, sqrt(25) is equal to both +5 and 5. Similarly, sqrt(25)= +5i and 5i.
1*1 = 1, and 1*1=1. The important distinction is that sqrt(1) =/= 1. It's a function that has two roots, +1 and 1. Similarly, 1 raised to any power isn't equal to 1. It's the component along the real axis probably has a value of 1, but there's a difference between the point 1+0i and the roots of the equation x=1^a.
__________________
Do you have a question about Borderlands or the forums? Feel free to send me a private message for your questions and concerns. Remember to read the RULES and FAQs before posting. Failure to do so can result in you breaking a rule you did not know about and getting an infraction. Before creating a new topic/thread, make sure to use the search tool. Remember to avoid words three characters or less in size, as they are filtered out. 
April 16th, 2012, 08:37 PM  #18 
OccurredStone
Join Date: Feb 2005
Location: St. Louis, Missouri
Posts: 8,528

Re: 1 = 1
Now, let's all find the area under the curve!!11
__________________
Happily married gay couples with closets full of assault weapons. That's my vision for America, and it's a good one. Glenn Reynolds Oh ****!  Plaxico Burress 
April 20th, 2012, 11:11 AM  #19 
sophisms, know them.
Join Date: Aug 2011
Location: the land of whores, weed and tulips.
Posts: 1,760

Re: 1 = 1
so it's basically the same as this:
2 =(8)^(1/3) =(8)^(2/6) =6√(8)^2 =6√64=2 (just want to point out that the six before the root, doesn't mean 6 x ..., but instead root to the sixth (i have no idea how you say it in english))
__________________
there is no logical proof to support the claim that any sort of deity exists. a ''holy book'' is not proof, since it's credibility depends on the respective deity, it would be a circulus in probando to use one as argument for the other. ''religion isn't about proof, it's about belief''. you believe something BECAUSE there is proof. if a friends tells a crazy story, you might still believe him, because you've known him for a long time or something. belief requires evidence. 
April 20th, 2012, 11:56 AM  #20 
Member
Join Date: Mar 2010
Posts: 1,184

Re: 1 = 1
There's more math involved in psychology academics than many, many other fields of study. Understanding and practicing statistical analysis is imperative to obtaining a workable degree in the field.
__________________
GS tag / Steam name = AkumaMishima 

Thread Tools  
Display Modes  

