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Math Puzzle for May 2, 2025

A complacent parabola gets trapped in a linear squeeze play with no exit

Alameda Post - A math diagram where a parabola intersects two lines that cross [1]

Two lines, each determined by two points, as Euclid predicted, are tangent to a parabola.
Point A is located at ( 4, 20 ), point B is located at ( 14, 25 ) and intersection C is at ( 9, 10 ).
Given the parabolas dutifully obey the equation y=ax + by + c

Find appropriate values for a, b and c.

First correct answer arriving at [email protected] [2] wins an Alameda Post mug.

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Send your answers to [email protected] [2].