Find the Proper Time given the time and distance between two events

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Homework Statement


I have written everything in the attachement, please read it


Homework Equations



I have written everything in the attachement, please read it
all of them :)

The Attempt at a Solution


My solution is also at the PDF attached, just check for correctness, and if i made any mistakes, tell me
 

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So Correct :P?
Finaly a correct answer..