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19 Jul 2009 16:50:14 IST

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If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadra

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If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respectively, thenobtain the quadratic equation.

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Anirudh Kumar

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Joined: 25 Jan 2009

Posts: 246

19 Jul 2009 18:23:08 IST

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AM = a+b/2= 8

=> sum of roots = 16

G.M = (ab)^1/2 = 5 => ab = 25 .

required quadratic equation

x² - 16 x +25

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