What is the critical f(x,y)=2x^2+axy+3y^2-2x+1 ?

The critical f(x,y)=2x^2+axy+3y^2-2x+1 is (-(12)/(a^2-24),(2a)/(a^2-24))

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critical f(x,y)=2x^2+axy+3y^2-2x+1

critical points

f (x, y) = 2 x^{2} + a x y + 3 y^{2} - 2 x + 1

(- \frac{12}{a ^{2} - 24}, \frac{2 a}{a ^{2} - 24})

Solution steps

2 x^{2} + a x y + 3 y^{2} - 2 x + 1

Find where

\nabla f (x, y)

is equal to zero or undefined

(- \frac{12}{a ^{2} - 24}, \frac{2 a}{a ^{2} - 24})

f (x) = x^{\frac{3}{5}} (4 - x)

f (x) = x^{2} - 1

f (x) = 2 x^{2} - 4 x - 1

f (x, y) = x^{4} + y^{4} + x^{2} y^{2}

f (x) = x^{\frac{1}{3}} - x^{- \frac{2}{3}}

What is the critical f(x,y)=2x^2+axy+3y^2-2x+1 ?
The critical f(x,y)=2x^2+axy+3y^2-2x+1 is (-(12)/(a^2-24),(2a)/(a^2-24))