if a and b are roots of equation \(x^2-2x+\frac{\sqrt3}{2}=0\), and \(x^4+px^2+q=0\), what is p?
First work out what the roots of the first one are.
Use the quadratic formula.
Come back with your answer.
Since it's already 6 hours, might as well hint a bit.
My latex is a bit sluggish so forgive the frac sitting there.
\(x=\frac{-(-2)\pm\sqrt{4-4/frac\sqrt{3}/2}}{2}\)