A curve has equation

\(y=(3+\sqrt5)x^2-8\sqrt5\,x+60.\)

(a) Find the \(x\)-coordinate of the stationary point of the curve in the form \(a+b\sqrt5\), where \(a\) and \(b\) are integers.

(b) Find the \(y\)-coordinate of this stationary point in the form \(c\sqrt5\), where \(c\) is an integer.