Question 663417
QUESTION: "Find two non-negative numbers whose sum is 18.5 and the sum of their squares is a minimum."

I had
x^2+(18.5-x)^2
=x^2+342.25-37x+x^2
=2x^2-37x+342.25
and then I got very lost. Someone suggested I used -b/2a to help me solve but I'm not sure what I'm supposed to do.
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f(x) = 2x^2-37x+342.25
The min is the vertex of the parabola, at x = -b/2a
x = -(-37)/4 = 9.25
f(9.25) is the minimum
= 171.25