Find the discriminant of the given function $f ( x , y ) = 3 x ^ { 2 } + 4 x y + 9 y ^ { 2 }$
A) $6 x + 4 y$
B) $- 92$
C) $92$
D) $4 x + 18 y$

Name: Find the discriminant of the given function $f ( x , y ) = 3 x ^ { 2 } + 4 x y + 9 y ^ { 2 }$ A) $6 x + 4 y$ B) $- 92$ C) $92$ D) $4 x + 18 y$
Brand: Quizplus
Rating: 4.8 (30 reviews)

Question

Quizplus · Accepted Answer

The discriminant of a quadratic form $ax^2+bxy+cy^2$ is given by $b^2-4ac$. In this case, $a=3$, $b=4$, and $c=9$, so the discriminant is $4^2-4(3)(9) = 16-108 = -92$.

Find the Discriminant of the Given Function f(x,y)=3x2+4xy+9y2f ( x , y ) = 3 x ^ { 2 } + 4 x y + 9 y ^ { 2 }f(x,y)=3x2+4xy+9y2

Find the Discriminant of the Given Function $f ( x , y ) = 3 x ^ { 2 } + 4 x y + 9 y ^ { 2 }$