Use the discriminant to classify the graph. $x ^ { 2 } - 10 x y - 9 y ^ { 2 } + 8 x - 33 = 0$
A)The graph is a ellipse.
B)The graph is a circle.
C)The graph is a hyperbola.
D)The graph is a line.
E)The graph is a parabola.

Question

Use the discriminant to classify the graph.​ $x ^ { 2 } - 10 x y - 9 y ^ { 2 } + 8 x - 33 = 0$ ​
A)The graph is a ellipse.
B)The graph is a circle.
C)The graph is a hyperbola.
D)The graph is a line.
E)The graph is a parabola.

Quizplus · Accepted Answer

The discriminant of a hyperbola is negative, and this graph has a negative discriminant. Therefore, it must be a hyperbola.

Use the Discriminant to Classify the Graph x2−10xy−9y2+8x−33=0x ^ { 2 } - 10 x y - 9 y ^ { 2 } + 8 x - 33 = 0x2−10xy−9y2+8x−33=0

Use the Discriminant to Classify the Graph $x ^ { 2 } - 10 x y - 9 y ^ { 2 } + 8 x - 33 = 0$