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`t` to the 1/8th power

Category:Math
Submitted By:trojan5x
Fun:** (2.07)
Difficulty:*** (2.51)



How might a mathematician describe a number `t` held to the following condition:
When (t+1) is subtracted from t and the result is raised to the 1/8th power.

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Comments on this teaser


Posted by Phyllis02/01/01
What is a rooth?

Posted by thephirm10/18/01
Your claim that taking the positive root of any negative number results in an imaginary number is incorrect. For example, the cube root of -1 is -1 (-1 * -1 * -1 = -1). However the even root of any negative number will be imaginary.

Posted by canu07/13/04
The words in the teaser look like English words, but put together they have no meaning in English or in math.

Posted by Sane03/20/05
I did the subtraction wrong and came out with: 1/100 000 000 0.00000001 :D

Posted by darthforman05/25/05
:-?

Posted by stephiesd12/09/05
i read it wrond after i did the subtraction, i read it as the -8th power, resulting in -1. anyhow, we haven't covered imaginary numbers yet. i think they're next chapter.

Posted by mr_brainiac01/11/06
I don't think that the answer is really an imaginary number, I think it's more likely an imaginary imaginary number, or maybe it's an imaginary imaginary imaginary number, or maybe it's ...

Posted by lessthanjake78901/29/06
wrong... all of you. the number t is a positive, real number. let t = 100, t+1 = 101. t-(t+1) = -1, raised to the 1/8th is, truly an imaginary number, but as you can see, "t" is ANY real number, positive or negative. sorry, but poorly thought out teaser

Posted by Methlos03/12/06
I thing i might put my head under a pillow for a while

Posted by Brainy_103/18/06
:o That hurt my head! Nice job though! 8)

Posted by MadDog7203/23/06
I see four problems with this teaser: 1) It asks for the number t, not the value of (t-(t+1))^(1/8). 2) Why bother with t? Isn't it obvious that if t+1 is subtracted from t, the result is -1? 3) The answer is vague. I actually computed the answer, only to find that all you wanted was 'imaginary'. 4) It's not an imaginary number! An imaginary number is a number of the form b*i, where i^2=-1. The answer is of the form a + b*i, where a is nonzero (there are actually 8 answers, but they are all of this form). The answer is complex and not real, but not imaginary either.

Posted by Krystle07/23/06
wow, i'm not good at math at all :(

Posted by Qrystal07/29/06
I figured that a mathematician would call 't' TRIVIAL. After all, it got subtracted out of the situation right away. There must be a way this teaser could be improved so that it asks what it means to ask... although of course MadDog72 is absolutely correct in stating that [-1]^[1/8] is technically considered complex, not imaginary. Does anyone care that [-1]^[1/8] has 8 answers? :P Let A = cos(pi/8). Let B = sin(pi/8). Then [-1]^[1/8] = ( A + B*i, B + A*i, -B + A*i, -A + B*i, -A - B*i, -B - A*i, B - A*i, A - B*i ) Anyways, I don't care if anyone else doesn't care; I wrote it because I care. So there.

Posted by Qrystal07/29/06
eeek my answer got invaded by sunglass dudes! That should say: Let A = cos[pi/8]. Let B = sin[pi/8].

Posted by dimez_0010/22/06
i figured this: (t+1)-t=? ?^1/8 therefore i got t+1-t=1 1^1/8=the 8th root of 1 which is 1

Posted by ChristheGreat11/12/06
Hmm.. you did't include the fact that pi to the 3rd power minus the radius of a duck's butt plus the deepness of a toilet = 5 times the 3rd trigonometric function plus the amount of time it takes for the final star to impact the earth causing free cake for everyone! :lol: :lol: :lol:

Posted by EA_KLEIN03/15/07
whoever wrote this has some loose marbles in his keppie

Posted by jamesbond04/19/07
ya ryt

Posted by SRB_180708/17/11
I love 2 eat ducks.. :lol: :lol: :lol: :lol:




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