(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use the discriminant to determine if the following are equations of an ellipse, parabola or hyperbola

[tex]6x^2-12xy+6y^2-5x+9=0[/tex]

[tex]5xy-4y^2+8x-3y+20=0[/tex]

[tex]x^2-9xy+5y^2-2=0[/tex]

[tex]10x^2-9xy+5y^2-2=0[/tex]

[tex]2y^2-10x+9y-8=0[/tex]

2. Relevant equations

3. The attempt at a solution

I got these answers:

[tex]0, parabola[/tex]

[tex]25, hyperbola[/tex]

[tex]44, hyperbola[/tex]

[tex]-119, ellipse[/tex]

[tex]0, parabola[/tex]

could someone check me on these? Thanks!

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# Homework Help: Discriminants for ellipse, parabola or hyperbola

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