Dessie50 Dessie50
  • 08-05-2014
  • Mathematics
contestada

Find the minimum value of 1 + 3(3 −x)²

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crisforp
crisforp crisforp
  • 08-05-2014
1 + 3(3 −x)² >= 1, because 3 > 0 and (3 −x)² >=0 =>
 the minimum value of 1 + 3(3 −x)² is 1.
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kate200468
kate200468 kate200468
  • 08-05-2014
[tex]for\ every\ x\in R\ is\ (3-x)^2 \geq 0\\\\ (3-x)^2 \geq 0\ \ \ \Rightarrow\ \ 3 (3-x)^2 \geq 0\ \ \ 1+ (3-x)^2 \geq 1\\ \\Ans.\ The\ minimum\ value\ is\ 1[/tex]
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