Thank you so much for the explanations. I actually went back and noticed that even the first part doesn't work properly with the numbers I mentioned on MATLAB which makes me think this is more of a theoretical problem. In that case I think the numbers you have mentioned would satisfy the second...
For the first part, I have used a= 2, b = eps/2, c = eps/2 which I believe works and I have tested it in MATLAB however haven't had any luck reproducing the second part in MATLAB with any numbers. Any hints? Thanks