Algbra Problem

p,q and r are three non-negative integers such that p + q + r = 10. The maximum value of pq + qr + pr + pqr is

#MathProblem

Note by Sandeep Sharma
7 years, 6 months ago

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Comments

First of all I would like to tell you that it is 'Algebra', Not 'Algbra' . For your question, I can give you a hint. You figure it out. we have to find maximum value of pq+qr+rp+pqr Divide and multiply this by pqr. So it becomes pqr(1/p+1/q+1/r+1)pqr(1/p+1/q+1/r+1).Now by applying AM-GM inequality, find the maximum of pqr, Then use AM-HM inequality and fin maximum value of 1/p+1/q+1/r1/p+1/q+1/r and that will lead you to the answer.

Dinesh Chavan - 7 years, 6 months ago

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What is the answer

PARTHIP MURALI - 1 year, 7 months ago

What is the answer ? Will you do it manually

PARTHIP MURALI - 1 year, 7 months ago
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