Question

Find two positive numbers whose sum is 100 and the sum of whose squares is a minimum. Please and thank youuu!

Answer 1

"two positive numbers whose sum is 100" ---> x+y = 100

x+y = 100

y = 100-x

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"the sum of whose squares is a minimum"

z = x^2 + y^2

z = x^2 + (100-x)^2

z = x^2 + 10000 - 200x + x^2

z = 2x^2 - 200x + 10000

So you'll then want to find the vertex of 2x^2 - 200x + 10000

Answer 2

thank you!!

Answer 3

yw