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Sharing Teaching Ideas: Solving Absolute Value Equations Algebraically and Geometrically

Shiyuan (Steve) Wei 

August 2005, Volume 99, Issue 1, Page 72

Abstract:
A unique method for solving absolute value equations derived through the use of an ellipse. Geometrical method shows that the solutions of both absolute value equations |x - a| + |x - b| = c(b - a < c**) and ||x - a| - |x - b|| = c(b - a > c**) are given by a single formulas: x = [(a + b) - c]/2 or x = [(a + b) + c]/2.

Keywords:
Article
Algebra
Conceptual Development
Grades 9-12
Curriculum
Teacher