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Quartic with Three Real Zeros

Problem:Consider the quartic function f( x )=( x−a )( x−a )( x−b )( x−b )−n such that a, b, n∈ℝ . Find the value of n, in terms of a and b, such that f( x ) has three distinct real zeros (two single roots and one double root).download document with problem and solution Quartic 3 Real Zeros with solution v2

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