See: List of castles Castles in England
Angus
Argyll and Bute
Dumfries and Galloway
Dundee
Edinburgh
Fife
Highland
Moray
Perthshire
Scottish Borders
Stirling
... this means that the parabola intersects the x-axis in two points.) If the discriminant is negative, then there are two different solutions x, both of which ...