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June 17th, 2012, 12:20 AM  #1 
Newbie Joined: Jun 2012 Posts: 6 Thanks: 0  Simplifying equation
Hi friends, I have a following equation : x = x2  [(N1) * 2], where N = 11 that becomes: x = x2  (20) My question: If possible, how can we derive the value of x in the equation x = x2  (20) ? Thanks in advance, Regards. 
June 17th, 2012, 03:00 AM  #2  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  Re: Simplifying equation Quote:
x = x^2  20 Rearrange: x^2  x  20 = 0 Factor: (x  5)(x + 4) = 0 So x = 5 or x = 4 Any reason you were having trouble with that? Quite basic...  
June 17th, 2012, 03:15 AM  #3 
Newbie Joined: Jun 2012 Posts: 6 Thanks: 0  Re: Simplifying equation
Denis, thanks for your reply. But how do you figure out 5 and 4 ? What if the number 20 in the example equation is really a large value of which we do not know the products. Someone suggested for using quadratic formula for such equations. "Any reason you were having trouble with that? Quite basic..." Mathematics is a beautiful but complex arena and I am not even an average math expert. But I often try to solve really complex problems like 3D progression space for which I always want direct and simple equations. Studying progression sequences is just an part of it. I think learning and implementing maths to odd problems helps me to relax for a while and makes my logical strength more sharper. 
June 17th, 2012, 06:01 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,805 Thanks: 2150 
x = x²  20 is equivalent to (x  1/2)² = 20 + 1/4, so you can find x  1/2 and hence x.


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