# solving conics

posted by .

Explain which conic section this equation and explain how to solve it:
12x^2-18y^2-18x-12y+12=0

• solving conics -

let's complete the square to get it into standard form

12(x^2 - (3/2)x + .....) - 18(y^2 + (2/3)y + ...) = -12

12(x^2 - (3/2)x + 9/16) - 18(y^2 + (2/3)y + 1/9) = -12 + 9/16 + 1/9

12(x - 3/4)^2 - 18(y + 1/3)^2 = -1631/144
divide by 1631/144
(x-3/4)^2/(1728/1631) - (y+1/3)^2/(2592/1631) = -1

I am sure you can determine the properties of the vertical hyperbola from there.
Check my arithmetic.

## Similar Questions

1. ### Algebra 2 -Conics

The directions are : Write each equation in standard form (if needed), then find appropriate information for the particular conic. the question: y=2x^2-12x+19 HOW DO I BEGIN?
2. ### Pre-Cal

Classify the conic and write the equation in standard form: (1) 9x^2 + 9y^2 + 18x - 18y = 0 (2) 16x^2 + 16y^2 - 64x + 32y + 55 = 0 (3) 6x^2 + 2y^2 + 18x - 10y + 2 = 0
3. ### Algebra

Can someone please check my work for me. Q: Plot the graph of the equations 2x - 3y = 5 and 4x - 6y = 21 and interpret the result. A: 6(2x ¨C 3y = 5) = 12x ¨C 18y = 30 3(4x - 6y = 21) = 12x - 18y = 63 12x ¨C 18y = 30 + 12x - 18y …
4. ### Conic section identification

Explain which conic section this equation and explain how to solve it: 12x^2-18y^2-18x-12y+12=0
5. ### conics

Explain which conic section this equation and explain how to solve it: 12x^2-18y^2-18x-12y+12=0
6. ### algebra 2

Explain which conic section this equation and explain how to solve it: 12x^2-18y^2-18x-12y+12=0
7. ### pre cal

What is the center of the conic whose equation is x^2 + 2y^2 - 6x + 8y = 0 2.Which one of the following equations represents a hyperbola?
8. ### algebra

A conic section has the equation x^2+y^2+12x+8y=48. Determine the following; type of conic, domain and range, axes of symmetry, and center.
9. ### Pre-calculus HELP PLEASE !

Find the coordinates of the center of the ellipse represented by 4x^2 + 9y^2 – 18y – 27 = 0. For 2x^2 + xy + 2y^2 = 1, find , the angle of rotation about the origin, to the nearest degree. Find the distance between points at (–1, …