Find the two positive numbers whose sum is 15 so that the sum of their squares is minimum.
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Answer:
7 and 8
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⇒
Find the two positive numbers whose sum is 15 so that the sum of their squares is minimum.
⇒
⇒a+b=15
⇒f(a,b)=+ is minimum
⇒f(a)=+(15−a
⇒a= 15/12(in fraction) ,b= 15/12(in fraction)
⇒So a= 15/2 15/2 are two numbers for which f(a,b)= + is minimum
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