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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- year-old boy gave a correct proof using high school algebra. Can someone help?

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  1. anonymous
    • 5 years ago
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    Source?

  2. anonymous
    • 5 years ago
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    What do you mean source?

  3. anonymous
    • 5 years ago
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    Where is it from?

  4. anonymous
    • 5 years ago
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    I saw this question posted on a different platform and nobody solved it. So I was wondering if someone here could.

  5. anonymous
    • 5 years ago
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    Where?

  6. anonymous
    • 5 years ago
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    This site is hardly full of olympiad-level people FWIW

  7. anonymous
    • 5 years ago
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    answers.yahoo.com

  8. anonymous
    • 5 years ago
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    Oh lol, probably isn't too hard though then, I thought you meant somewhere like AoPS ¬_¬. Still not my style, though.

  9. anonymous
    • 5 years ago
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    What's a AoPS?

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spraguer (Moderator)
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