What is the critical x^2+xy+y^2-19y+120 ?

The critical x^2+xy+y^2-19y+120 is (-19/3 , 38/3)

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critical x^2+xy+y^2-19y+120

critical points

x^{2} + x y + y^{2} - 19 y + 120

(- \frac{19}{3}, \frac{38}{3})

Solution steps

x^{2} + x y + y^{2} - 19 y + 120

Find where

\nabla f (x, y)

is equal to zero or undefined

(- \frac{19}{3}, \frac{38}{3})

x = x y - 3 y - 4

\frac{1}{5} x^{3} + x^{2} - 2 x

- 6 x^{4}

f (x, y) = x^{2} - y^{2} - 8 x + 6 y + 5

f (x) = \frac{x ^{3} - 1}{x}

What is the critical x^2+xy+y^2-19y+120 ?
The critical x^2+xy+y^2-19y+120 is (-19/3 , 38/3)