SOLUTION: Write ellipse in standard form. 3x^2+6x+y^2-6y=-3

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write ellipse in standard form. 3x^2+6x+y^2-6y=-3      Log On


   

Question 831604: Write ellipse in standard form. 3x^2+6x+y^2-6y=-3
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Standard Form for an ellipse is highlight_green%28%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1%29, for one with horizontal axis longer than vertical axis of the ellipse, and that foci are on the ellipse's own horizontal axis of symmetry.

You must complete the square for the x and for the y. See the lesson,
"What is Completing The Square? With Visual Explanation", http://www.algebra.com/my/Completing-the-Square-Using-Pictures.lesson?content_action=show_dev
which is in the lessons link in my profile page.

Complete the squares, simplify, and adjust into standard form.