I am aiming to solve the following cubic equation for x.
x^3*a^2(r-1)+x^2*a*(a-2*(r-1)) - x*(2a+1)+1 = 0
Essentially, I would like to express x as a function of the variable r and a. Any pointer as of how I should tackle this problem. Thanks
Try
Solve[{x^3 a^2 (r - 1) + x^2 a (a - 2 (r - 1)) - x*(2 a + 1) + 1 == 0}, x]
