A Quadratic with Equal Values

Problem

Let a,ba,b be distinct real numbers. If the quadratic function f(x)=x2+ax+bf(x)=x^2+ax+b satisfies f(a)=f(b)f(a)=f(b), find f(2)f(2).

Answer

Solution

Difficulty5/10
Topicsfunctions, Quadratic Equations, algebra, Symmetry

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