See: List of castles Castles in England
Angus
Argyll and Bute
Dumfries and Galloway
Dundee
Edinburgh
Fife
Highland
Moray
Perthshire
Scottish Borders
Stirling
... between three qualitatively different cases: If the discriminant is zero, then there is a repeated solution x, and this solution is real. (Geometrically, this ...