A Radical Meets a Line

★ 7/10functions algebra analytic geometry Casework Discriminant

Problem

The graphs of

f(x) = \sqrt{ax^2 - ax + 2} \qquad\text{and}\qquad g(x) = ax - a + 2

have exactly one common point. Find the range of $a$ .

Answer

Solution

Difficulty	7/10
Topics	functions, algebra, analytic geometry, Casework, Discriminant

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