anonymous
  • anonymous
The sum of two nonegative numbers is 20. Find the numbers if...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
a) the sum of their squares is a large as possible; as small as possible? b) one number plus the square root of the other is a large as possible; as small as possible?
jennychan12
  • jennychan12
i only know how to do this with optimization (calculus) x^2+y^2 =M x+y = 20 Find y in terms of x and plug it in, then take the derivative.
anonymous
  • anonymous
I got y = 10

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anonymous
  • anonymous
so that's the minimum? but i don't know how to find the largest possible answer
anonymous
  • anonymous
no, i did it your previous way lol. I put the primary equation as x^2+y^2= S and the secondary equation as x+y=20 but idk if that's correct.
jennychan12
  • jennychan12
yeah, that's correct, then solve for one of the variables and plug it into the S equation
anonymous
  • anonymous
the S equation or the S' equation?
Hunus
  • Hunus
the S equation
jennychan12
  • jennychan12
plug it into the S equation, simplify then take the derivative (S')
anonymous
  • anonymous
Oh i figured it out lol!!! But i don't know how to solve for part b :(
jennychan12
  • jennychan12
x+sqrt(y) = M try that?
jennychan12
  • jennychan12
using x+y = 20 plug in, same things...? dunno if it'll work, but....

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