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Three numbers (Posted on 2003-11-17) Difficulty: 3 of 5
If x, y and z are real numbers such that: x + y + z = 5 and xy + yz + zx = 3, what is the largest value that x can have ?

No Solution Yet Submitted by Ravi Raja    
Rating: 3.7500 (4 votes)

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  Subject Author Date
SolutionAnother SolutionBrian Smith2016-02-21 15:49:21
Some ThoughtsCauchy-Schwarz InequalityCeeAnne2004-11-13 12:30:31
SolutionSolution by Cauchy-SchwarzNick Hobson2004-11-12 15:56:09
SolutionSolution by Lagrange MultipliersRichard2003-11-18 23:22:18
re: shaving the sphereSilverKnight2003-11-18 21:32:14
re(4): another solutionCharlie2003-11-18 21:28:07
shaving the sphereEric2003-11-18 21:24:48
re(3): another solutionSilverKnight2003-11-18 21:02:31
re(2): another solutionCharlie2003-11-18 21:00:40
re: another solutionTristan2003-11-18 18:15:22
re: another solutionGamer2003-11-18 18:13:10
another solutionretiarius2003-11-18 07:39:35
re(2): solution - corrected, I thinkRichard2003-11-18 00:40:16
Solutionre: solution - corrected, I thinkSilverKnight2003-11-17 17:17:00
QuestionAlso this way to think about it.Gamer2003-11-17 16:57:38
Questionre: solutionGamer2003-11-17 16:54:52
Questionre: solutionSilverKnight2003-11-17 15:59:29
SolutionsolutionCharlie2003-11-17 15:31:51
Hints/Tipsre: a starting shot...SilverKnight2003-11-17 15:11:35
re: a starting shot...Charlie2003-11-17 14:15:32
a starting shot...DuCk2003-11-17 13:48:03
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