Equation whose roots are the ratios of two roots

The equation \(x^2-sx+1=0\), where \(s\) is a constant and \(s^2>4\), has roots \(\alpha\) and \(\beta\).

1. Show that the equation whose roots are \(\dfrac{\alpha}{\beta}\) and \(\dfrac{\beta}{\alpha}\) is \(x^2-(s^2-2)x+1=0\).[3]
2. Write down this equation when \(s=3\).[1]
3. Find the possible values of \(s\) for which one root of \(x^2-sx+1=0\) is four times the other.[3]