Isolating r from this equation

Hi Arduino people!

Can you please isolate the variable r and simplify this equation (attached)? Don’t worry it’s not my homework. I tried Microsoft Mathematics to simplify but it can’t. I don’t have Mathematica so I can’t use that.

I need this equation for my project in Arduino. I can’t put it into my code. :disappointed_relieved:

Your help is appreciated. If this equation works I will share it here. :smiley:

imho it is impossible to extract r from the equation.
think there might be a solution for r== infinity. as that removes all x y and z parts

you could make a first step by defining d= (x^2)/(2x r^2); similar for y and z

Where does this formula comes from?

nikkoderic:
Hi Arduino people!

Can you please isolate the variable r and simplify this equation (attached)? Don't worry it's not my homework. I tried Microsoft Mathematics to simplify but it can't. I don't have Mathematica so I can't use that.

I need this equation for my project in Arduino. I can't put it into my code. :disappointed_relieved:

Your help is appreciated. If this equation works I will share it here. :smiley:

The first you can do is to Reduct to a common denominator.

Are you trying to solve r with given x,y,z? Do you know if it is solvable and how many roots r has? The original question that spawned this equation would answer some of the questions I/we have.

I thought i could help, so i plugged it into maple, but it cant solve it. Maybe with more information it could.

The OP did not answered the question yet where the formula comes from (see post 2)

From the vars in the formula I guess it is a sort of 3d - distance function ?