Problem #PRU-111345

Problems Calculus Integral Applications of integration Area by integration Algebra Polynomials Quadratic polynomials Quadratic equations. Vieta's rule.

Problem

The numbers p and q are such that the parabolas y=2x2 and y=x2+px+q intersect at two points, bounding a certain figure.

Find the equation of the vertical line dividing the area of this figure in half.