a) Prove that the inequality x(x+1)(x+2)(x+3) >= -1 holds for all real numbers x. b) Prove that (ab+bc+ca)^2 >= 3abc(a+b+c) holds for all real numbers a, b and c
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Originally Posted by xwrathbringerx a) Prove that the inequality x(x+1)(x+2)(x+3) >= -1 holds for all real numbers x. obviously which can be rewritten as: thus: now put b) Prove that (ab+bc+ca)^2 >= 3abc(a+b+c) holds for all real numbers a, b and c Fact: for any real numbers Proof: now your inequality follows quickly if you put
Last edited by NonCommAlg; Jul 31st 2008 at 04:11 AM.
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