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Among all pairs of numbers (x,y) such that 3x+y=15, find the minimum of x^2 + y^2.

 May 20, 2022
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\(x^2 + y^2 = x^2 + (15 - 3x)^2 = 10x^2 - 90x + 225\)

 

Now you can complete the square and find the minimum. Can you take it from here?

 May 20, 2022

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