# Milestone: 100,000 points! (An excuse to post a problem)

Algebra Level 5

$\large f(x) = 16x^4+96x^3+224x^2+240x+40p-4p^2$

If $$p$$ is a real constant in the interval satisfying $$a<p<b$$ such that $$f(x)$$ has no real roots, find $$a+b$$.

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