anonymous
  • anonymous
Find two positive numbers whose sum is 100 and the sum of whose squares is a minimum. Please and thank youuu!
Mathematics
jamiebookeater
  • jamiebookeater
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jim_thompson5910
  • jim_thompson5910
"two positive numbers whose sum is 100" ---> x+y = 100 x+y = 100 y = 100-x ------------------------------------------ "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
anonymous
  • anonymous
thank you!!
jim_thompson5910
  • jim_thompson5910
yw

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