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Let \(P(x)\) be a quadratic polynomial with complex coefficients whose \(x^2\) coefficient is 1. Suppose the equation \(P(P(x))=0\) has four distinct solutions, \(x=3,4,a,b\). Find the sum of all possible values of \((a+b)^2\).

 Apr 1, 2020
edited by nchang  Apr 1, 2020
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The sum of all possible values of (a + b)^2 is 9 + 16 = 25.

 Apr 2, 2020

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