\(P=2X^2+(3-X)^2\))
Minimum of P is at \(X=1\) or \((x,y)=(2,4)\) which is \(6\)
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Aditya Parson
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3 years, 10 months ago

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@Aditya Parson
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I thought the minimum of P is 6 because from the equation P=2X^2 + (3-X)^2=3X^2-6X+9 by completing the square P=3(X-1)^2 + 6, hence the minimum value is 6. Even if we consider your answer that 0 is minimum then log x base 2 has to be zero > then x=1 and repeating the same argument we find that y=1 and unfortunately this contradicts the statement that xy=8 because if minimum P is 0 then xy has to be 1.
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Pralhlad Hardman
·
3 years, 10 months ago

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TopNewest\(P=2X^2+(3-X)^2\)) Minimum of P is at \(X=1\) or \((x,y)=(2,4)\) which is \(6\) – Aditya Parson · 3 years, 10 months ago

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– Pralhlad Hardman · 3 years, 10 months ago

I thought the minimum of P is 6 because from the equation P=2X^2 + (3-X)^2=3X^2-6X+9 by completing the square P=3(X-1)^2 + 6, hence the minimum value is 6. Even if we consider your answer that 0 is minimum then log x base 2 has to be zero > then x=1 and repeating the same argument we find that y=1 and unfortunately this contradicts the statement that xy=8 because if minimum P is 0 then xy has to be 1.Log in to reply

– Aditya Parson · 3 years, 10 months ago

You are right.Log in to reply

P=2X^2+(3−X)^2? – Fadlan Semeion · 3 years, 10 months agoLog in to reply

– Aditya Parson · 3 years, 10 months ago

The questions asks us to express P in terms of X.Log in to reply

2x^2, but i have question, from what(3−X)^2? – Fadlan Semeion · 3 years, 10 months agoLog in to reply

– Aditya Parson · 3 years, 10 months ago

it is given xy=8 so you can derive y in terms of X as well.Log in to reply