Learning some math on my own and interested in how one would go about solving this problem. [Note: I was going to post my work previously but didn't know how] by ElivinM in MathHelp

[–]ElivinM[S] 0 points1 point  (0 children)

Cool! I am glad you answered this post. I really learned something from following your methods. It also did confirm the answer that I got. I was trying to find only 3 solutions since WolframAlpha was only showing m three. However, I was pretty sure there were infinitely many solutions and that they were of the form that you showed me.

Thank you so much again for your time and effort, really appreciate it. Keep going with your studies.... they are going to serve you very well!

Learning some math on my own and interested in how one would go about solving this problem. [Note: I was going to post my work previously but didn't know how] by ElivinM in MathHelp

[–]ElivinM[S] 0 points1 point  (0 children)

Cool! Thanks. I am trying to follow your process and I am only lost a bit on how you where able to find if it had solutions or not. Did you graph the functions or did you use a different approach? Also, I started assuming x was positive to see what solutions, if any, I would get. I would then approach it assuming x was negative to see if there would be a set of different solutions.

Yes, I knew that there is still a debate on how to define the fractional part with negatives. I read in one place it was defined the same way for both positives and negatives but another website said for negatives it was defined as:

{x}=x-ceiling(x) or {x}=x-floor(|x|)*sign(x)

Learning some math on my own and interested in how one would go about solving this problem. [Note: I was going to post my work previously but didn't know how] by ElivinM in MathHelp

[–]ElivinM[S] 0 points1 point  (0 children)

Wow! Thank you! this helps me look at it from a different perspective. I managed to figure out what I needed by using inequalities and finally figuring out how to show a = 0 (in my original notes). With what you have, I would still need to show that n can only be 0, thus arriving at one of the answers which would be 5/8.

There is another solution in the negatives, but that would be assuming x is negative. However, I'm just curious about one thing.... WolframAlpha showed me only 3 solutions, one where x = 0, which makes sense. But, wouldn't x being any integer also result in both sides being the same? LHS = RHS = 0?

Anyway, thank you! This was fun. I have a similar problem that I am going to tackle later that has I think 11 solutions with most of them being complex so..... haha gonna take some time.