View Full Version : Solving for 3 unknowns
salted
07-06-2008, 07:46 PM
I'm currently trying to solving an equation for three unknowns. ( A, c, and g)
y = A / ( ( x - c )^2 + g^2 )
I have three known points for y and for x but I can't seem to figure out how to solve for A c or g and get an equations that uses y0, y1, y2 and x0, x1, x2. What order should I attempt to do substitutions in, or is there a better way.
Thanks
HallsofIvy
07-07-2008, 10:02 AM
I'm currently trying to solving an equation for three unknowns. ( A, c, and g)
y = A / ( ( x - c )^2 + g^2 )
I have three known points for y and for x but I can't seem to figure out how to solve for A c or g and get an equations that uses y0, y1, y2 and x0, x1, x2. What order should I attempt to do substitutions in, or is there a better way.
Thanks
If you multiply both sides by the denominator you will get
y((x-c)^2+ g^2)= A
Multiplying both sides by y gives (x-c)^2+ g^2= Ay, the equation of a circle (in the "cg-plane" with center at (x, 0) and radius Ay.
Putting in your three values for that gives 3 quadratic equations for c, g, and A. How you would solve them depends strongly on the specific numbers involved.
jamesbode
01-27-2009, 04:52 AM
Mhmm yeaa thanks fer the solution mate :)
i too was occupied wiv that sorta equations.
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gameover920
02-11-2009, 09:19 AM
potiskanje, tako lepo temo dobro delovno mesto
winddomino
07-13-2009, 05:16 AM
I'm currently trying to solving an equation for three unknowns. ( A, c, and g)
y = A / ( ( x - c )^2 + g^2 )
I have three known points for y and for x but I can't seem to figure out how to solve for A c or g and get an equations that uses y0, y1, y2 and x0, x1, x2. What order should I attempt to do substitutions in, or is there a better way.
Thanks
thank you for your article!
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