Triangle Geometry and Bisectors
Arithmetic Progression Centroid Roots
Leta a, b, c be in an arithmetic progression.
Let the centroid of the triangle with vertices (a , c) ,(2 , b) and (a , b) be
(
10 3
,
7 3
)
. If α , β are the roots of the equation ax² + bx + 1 = 0, then the values of α² + β² - αβ is