Determine two positive numbers whose sum is 15 and the sum of whose squares is minimum.

Asked by Aaryan | 1 year ago |  40

##### Solution :-

Suppose the two positive numbers be a and b Therefore, we have a + b = 15 ...(1)

Given a2 + b2 is minima Assume, S = a2 + b2 (From the equation 1)

Thus, the two number will be 7.5 and 7.5 which implies a = $$\dfrac{15}{2}$$ and $$\dfrac{15}{2}$$

Answered by Sakshi | 1 year ago

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