## Smallest value

For students of class 11-12 (age 16+)
sourav das
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### Smallest value

Find the smallest value of:
$|x^2-8xy+9y^2-16y+10|$ for $x,y \in R$
You spin my head right round right round,
When you go down, when you go down down......
(-$from$ "$THE$ $UGLY$ $TRUTH$" )

*Mahi*
Posts: 1175
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Location: 23.786228,90.354974
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### Re: Highest value

Isn't there a typo? Header says highest and problem says lowest.

Use $L^AT_EX$, It makes our work a lot easier!

sourav das
Posts: 461
Joined: Wed Dec 15, 2010 10:05 am
Location: Dhaka
Contact:

### Re: Smallest value

Opppssss.... .Thanks..
You spin my head right round right round,
When you go down, when you go down down......
(-$from$ "$THE$ $UGLY$ $TRUTH$" )

*Mahi*
Posts: 1175
Joined: Wed Dec 29, 2010 12:46 pm
Location: 23.786228,90.354974
Contact:

### 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 $0$.
Use $L^AT_EX$, It makes our work a lot easier!