2 positive numbersxandyare such thatp. If N is themaximum possible integralvalue ofppsuch that this inequality holds for all the values ofxxandyy. How many factors doesN2has?Correct answer is '3'. Can you explain this answer?

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2 positive numbers x and y are such that

p. If N is the maximum possible integral value of pp such that this inequality holds for all the values of xx and yy. How many factors does N² has?

Correct answer is '3'. Can you explain this answer?

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2 positive numbersxandyare such thatp. If N is themaximum possible int...

Let us multiply the 2 terms,

We get

Upon simplifying we get

Upon applying AM-GM inequality on xy+ 56/xy

Maximum possible integral value of p = 29 = N

N² = 29². Thus N² will have 2+1 = 3 factors

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2 positive numbersxandyare such thatp. If N is themaximum possible integralvalue ofppsuch that this inequality holds for all the values ofxxandyy. How many factors doesN2has?Correct answer is '3'. Can you explain this answer?

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