Min. value of Expression.

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$Determine the minimum value of the expression:\\\\ $A =x^2-10xy+27y^2-8y+8.$\\\\ For what values of $x,y$ take the minimum value of the expression A.

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Ricky ·2010-12-30 02:15:41

Rearrange the givene expression to get -

A = ( x - 5 y ) ² + 2 ( y - 2 ) ²

So , the least A can take is " 0 " since it is a sum of two squares . Also we see that " 0 " is achievable for ; y = 2 and correspondingly , x = 5 y = 10 .

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Basic Integral Calculus Operators Symbols Matrix Cases

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Min. value of Expression.

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