perplexus.info :: Just Math : Quadratic inequality leading to sum of roots

Quadratic inequality leading to sum of roots (Posted on 2021-04-02)

Let P(x) be a real quadratic trinomial, so that for all x∈R the inequality P(x³+x)≥P(x²+1) holds. Find the sum of the roots of P(x).

No Solution Yet Submitted by Danish Ahmed Khan

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