# Intersections of a line and a curve

by ehrenfest
Tags: curve, intersections, line
 HW Helper P: 3,352 Intersections of a line and a curve http://en.wikipedia.org/wiki/Vi%C3%A8te%27s_formulas Its a bit of grinding but in this case its a degree 4 polynomial so we can get it to the form $(x-\alpha)(x-\beta)(x-\gamma)(x-\delta)$. Where the greek letters are the roots. Now expand that, and equate to co efficients and we can get an expression for the sum of the roots knowing only the coefficients.