I'm not sure if this is the right place to post this. Let me say, this is not for any homework.(adsbygoogle = window.adsbygoogle || []).push({});

I've been asking all over the internet with help for this, and no one seems to be able to know.

I am applying this function to a Program I am writing in Delphi. I have no trouble applying it how it is in the picture, though what I need to do next is Isolate the variable "X" or "Y" by itself on one side of the equation. This reason I am doing this is so I can input a generated percentage value, a Y or X value, and get the corresponding variable to complete the point which matches in the generated accuracy relative to the Center Point.

[PLAIN]http://upload.wikimedia.org/wikipedia/en/thumb/c/ce/Gaussian_2d.png/300px-Gaussian_2d.png [Broken]

Here the coefficient A is the amplitude, xo,yo is the center and σx, σy are the x and y axis radii.

All I need help with is moving the X or the Y into isolation on one side of the equation. I say X OR Y for the fact that, the way the equation is layed out, once I have an equation with X on one side, I can just swap all the X vars with the Y vars and apply it the same way.

I have tried numerous times and asked on numerous forums.. People either misunderstood what I was asking or didn't understand and never replied. I have tried multiple times but keep running into errors like attempting to square root a negative.

I haven't been in a math class in around 1 year and a half so I've probably forgotten some important methods for rearranging equations. (Ironically enough, my overwheleming interested in mathematics didn't develop until over the summer, I wish I had the interest a year ago lol) I know one thing is....... at some point in the equation there will be a ± for the answer since the accuracy of the formula is derived from circles. Meaning, there will be multiple points with the same accuracy, probably around 4 for each actual accuracy.

Does anyone have an idea?

Also, if anyone gets it, can you please post any special exception rules I should beware of (in this problem) to prevent me from making future mistakes.

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# Rearranging Two-Dimensional Gaussian Function.

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