SOLUTION: Use the discriminant to determine whether the equation represents a parabola, hyperbola, or an ellipse. 4x^2 - 9xy - 5y^2 + 15 = 0

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Question 1136333: Use the discriminant to determine whether the equation represents a parabola, hyperbola, or
an ellipse. 4x^2 - 9xy - 5y^2 + 15 = 0

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
recall:
If , then the equation represents an .
-A subordinate special case of this occurs when and, then the equation represents a .
- If , then the equation represents a.
- If , then the equation represents a .
-A subordinate special case of this occurs, when , then the equation represents a rectangular hyperbola.

you are given:
...rearrange the terms

,
,

discriminant is:




=> and your equation represents a





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