# SOLUTION: i dont know how to solve this problem so that i get the equation of an ellipse 4x^2+9y^2+16x-18y-11=0

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 Algebra: Conic sections - ellipse, parabola, hyperbola Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Quadratic-relations-and-conic-sections Question 134309This question is from textbook Merill algebra 2 : i dont know how to solve this problem so that i get the equation of an ellipse 4x^2+9y^2+16x-18y-11=0This question is from textbook Merill algebra 2 Answer by jim_thompson5910(29613)   (Show Source): You can put this solution on YOUR website! Start with the given equation Rearrange the terms Add to both sides Complete the square for the x terms Complete the square for the y terms Combine like terms Add to both sides Combine like terms Now divide both sides by 36 to make the right side equal to 1 Simplify and break up the fraction Reduce Notice how the equation is now in the form . This means that this conic section is an ellipse.