Is this possible to work out?
From the three equations below I need the equation to what a=, b=, and c=
a equals the same value in all three equations.
b equals the same value in all three equations.
c equals the same value in all three equations.
I have all the known variables apart from a,b and c.
D - G = a(D-1) + b(D-1)² + c(D-1)³
E - H = a(E-1) + b(E-1)² + c(E-1)³
F - J = a(F-1) + b(F-1)² + c(F-1)³
Known Variables
D = 1.8926846
E = 2.5686994
F = 3.3756357
G = 1.892797681
H = 2.568917298
J = 3.376008599
D - G = -1.1308073E-04
E - H = -2.1789774E-04
F - J = -3.7289941E-04
D-1 = 0.8926846
E-1 = 1.5686994
F-1 = 2.3756357
Unknown equation (help !)
a = (equation required, must not contain variables b or c)
b = (equation required, must not contain variables a or c)
c = (equation required, must not contain variables a or b)
To possibly help as an example
Below are values of a,b and c that I have been given;
a = -1.145854E-04
b = -1.095579E-05
c = -2.898115E-06
these values of a, b, c have been calculated from the above known variables and the three equations but I don’t know the equations of how a, b, c have been worked out separately from the above data?
The known variables are from measurements, so if they change then a,b,c will also change, hence why I require the equation to work out the new values of a, b, c.