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robinjean

  • 3 years ago

The sum of two nonnegative numbers is 20. Find the numbers if the sum of their squares is as large as possible; as small as possible.

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  1. cinar
    • 3 years ago
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    x+y=20 A=x^2+y^2 A=x^2+(20-x)^2 A=2x^2-40x+400 A'=4x-40=0 x=10 y=10

  2. cinar
    • 3 years ago
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    10^2+10^2=200 is min. 20^2+0^=400 max

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