Hmm. I think your thoughts are moving in the right direction. However, you have a lot of sign errors, as well as exponent errors. The addition of alpha and beta needs to be divided by 2. The use of the quadratic formula should give you both alpha and beta. You should be able, because of the inequality constraint, to assign the + solution to one variable, and the - to the other, where the + and the - correspond to the sign difference in the quadratic formula between the two roots. Which one is which, do you think?