## Related questions with answers

Question

Without writing in standard form, state whether the graph of each equation is a parabola, circle, ellipse, or hyperbola.

$5 x - 12 x y + 6 x ^ { 2 } = 8 y ^ { 2 } - 24 y - 9$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 4Using the discriminant of the equation of the form $Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$, we can determine whether it is a circle, ellipse, parabola or hyperbola.

$B^2-4AC$ is the discriminant of the equation of this form.

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