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# What is the minimum possible value of 2x² - 2xy + y² - 2x + 3?

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Re: What is the minimum possible value of 2x² - 2xy + y² - 2x + 3? [#permalink]
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BrentGMATPrepNow wrote:
What is the minimum possible value of 2x² - 2xy + y² - 2x + 3?

A) 0
B) 1
C) 2
D) 3
E) 4

Initially when^2 x=1, y=1 trial and error the value was 2 however we cannot be absolutely be sure

Upon simplification we get (x-1)^2 + (x-y)^2 +2
square values has the least value of zero

THerefore 2 or IMO C
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Re: What is the minimum possible value of 2x² - 2xy + y² - 2x + 3? [#permalink]
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Re: What is the minimum possible value of 2x² - 2xy + y² - 2x + 3? [#permalink]
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