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anonymous
 5 years ago
Let a ≠ 0, b and c be real numbers. Show that, if there is areal valued f such that f(f(x)) = ax^2 + bx + c for every real x, then
(b  1)^2 ≤ 4(ac + 1)
I don't know how to this, but I was told that several guys with a good knowledge in calculus had a lot of trouble and a smart 14 yearold boy gave a correct proof using high school algebra.
Can someone help?
anonymous
 5 years ago
Let a ≠ 0, b and c be real numbers. Show that, if there is areal valued f such that f(f(x)) = ax^2 + bx + c for every real x, then (b  1)^2 ≤ 4(ac + 1) I don't know how to this, but I was told that several guys with a good knowledge in calculus had a lot of trouble and a smart 14 yearold boy gave a correct proof using high school algebra. Can someone help?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What do you mean source?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I saw this question posted on a different platform and nobody solved it. So I was wondering if someone here could.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This site is hardly full of olympiadlevel people FWIW

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh lol, probably isn't too hard though then, I thought you meant somewhere like AoPS ¬_¬. Still not my style, though.
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