1

Part of 2011 Albania Team Selection Test

Problems(1)

find all the possible x-coordinates of the vertex of parabol

Source: Albanian IMO 2011 TST

The given parabola

y=ax^2+bx+c

doesn't intersect the

X

-axis and passes from the points

A(-2,1)

B(2,9)

. Find all the possible values of the

x

coordinates of the vertex of this parabola.

analytic geometryconicsparabolafunctionalgebra unsolvedalgebra