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Solving for a variable help :) 
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#1
Jul3114, 05:35 PM

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Hey guys, this is a little silly question but it bothers me. Im not a math genius (yet i hope) and im still in elementary school so theres alot to learn. But i just read about the lorenz factor in this example he basically used pythagoras of this light clock in a train, so it started of as
[tex](ct)^2 = (cx)^2 + (vt)^2[/tex] and he derived it into: [tex]t = \frac{x}{\sqrt{1\frac{v^2}{c^2}}}[/tex] I would have posted an attemp to solve it but i really just dont know how to crack it and get started Pleeeaaase help it would be really nice :D 


#2
Jul3114, 06:03 PM

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That is nothing you can derive (at least not in the way you ask for here), that is a definition of γ.



#3
Jul3114, 06:18 PM

P: 12

right its me god im stupid! he solved for t not gamma dont really know what went through my head while i wrote it. i corrected it in the post now



#4
Jul3114, 06:23 PM

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P: 18,346

Solving for a variable help :)
OK, I'll help you get started: bring all terms which have a ##t## to one side of the equation and the other terms on the other side. Isolate ##t^2## so you have ##t^2 = \text{something}##. Then take roots.



#5
Jul3114, 06:35 PM

P: 12

ok ill try:
[itex]c^2t^2 = c^2x^2 + v^2t^2[/itex] [itex]t^2 = \frac{c^2x^2 + v^2t^2}{c^2}[/itex] Dividing both sides by t^2 [itex]1 = \frac{c^2x^2 + v^2t^2}{c^2t^2}[/itex] im stuck... lol normally i dont really have trouble when solving for variables but this one irritates me.. can i have another hint ? :) 


#6
Jul3114, 06:47 PM

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#7
Jul3114, 07:05 PM

P: 12

Exacly thats the though part, because normally i would just divide out the t^2 but that wont help in this example as it would leave me with a 1 on the LHS.. and that wouldnt help much,, is there some mechanism or method that i am missing that could solve this? i feel like theres something i havent learned that could allow this to be solved.. or is it just me thats blind?



#8
Jul3114, 07:08 PM

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#9
Jul3114, 07:17 PM

P: 12

Yea no problem but there i can just add 3x^2 to both sides, in my example its [itex]v^2t^2[/itex] so i cant do the same thing here?



#10
Jul3114, 08:04 PM

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