Find the smallest value of:
$|x^2-8xy+9y^2-16y+10|$ for $x,y \in R$
Smallest value
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You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
Re: Highest value
Isn't there a typo? Header says highest and problem says lowest.
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Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
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- Posts:461
- Joined:Wed Dec 15, 2010 10:05 am
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Re: Smallest value
Opppssss.... .Thanks..
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
Re: Smallest value
\[0\]
The expression is \[|(x-4y)^2-(\sqrt {7} y+\frac{8}{\sqrt{7}})^2+\frac{134}{7}|\] and setting $x=4y$, $y=\frac 17 (\sqrt{134}-8),\frac 17 (-\sqrt{134}-8)$ gives us $0$.
The expression is \[|(x-4y)^2-(\sqrt {7} y+\frac{8}{\sqrt{7}})^2+\frac{134}{7}|\] and setting $x=4y$, $y=\frac 17 (\sqrt{134}-8),\frac 17 (-\sqrt{134}-8)$ gives us $0$.
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi