Question

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

5x12xy+6x2=8y224y95 x - 12 x y + 6 x ^ { 2 } = 8 y ^ { 2 } - 24 y - 9

Solution

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Answered 1 year ago
Answered 1 year ago
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Using the discriminant of the equation of the form Ax2+Bxy+Cy2+Dx+Ey+F=0Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0, we can determine whether it is a circle, ellipse, parabola or hyperbola.

B24ACB^2-4AC is the discriminant of the equation of this form.

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