And $f _ { y } ( x , y ) = 0$

question 53

Multiple Choice

$\text { For } f ( x , y ) = x ^ { 2 } - x y + y ^ { 2 } - 5 x + y \text { find all values of } x \text { and } y \text { such that } f _ { x } ( x , y ) = 0$ and $f _ { y } ( x , y ) = 0$ simultaneously.

• A) \(x = 4 ; y = 2\)
• B) \(x = 3 ; y = 1\)
• C) \(x = 5 ; y = 1\)
• D) \(x = 7 ; y = 3\)
• E) \(x = 2 , y = 0\)

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