See: List of castles Castles in England
Angus
Argyll and Bute
Dumfries and Galloway
Dundee
Edinburgh
Fife
Highland
Moray
Perthshire
Scottish Borders
Stirling
... of completing the square[?]. <math>ax^2+bx+c=0</math> Dividing our quadratic equation by a, we have <math> x^2 + \left( \frac{b}{a} \right) x + ...