Consider the following 6x2 10xy 3y2 6y 39 Use the discri

Consider the following. 6x^2 + 10xy + 3y^2 - 6y = 39 Use the discriminant to identify the conic. hyperbola ellipse parabola Confirm your answer by graphing the conic using a graphing device.

Solution

6x^2 +10xy +3y^2 -6y =39

A=6 , B=5 and c=3

B^2 -AC= 5^2 -6*3 = 25 -18 =7

B^2 -AC>0

so it is hyperbola