# SOLUTION: how do i complete the square with a ellipse equation? the equation im having issues with is 49x^2+36y^2+686x-360y+1537=0. please help.

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: how do i complete the square with a ellipse equation? the equation im having issues with is 49x^2+36y^2+686x-360y+1537=0. please help.      Log On

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

 Question 572850: how do i complete the square with a ellipse equation? the equation im having issues with is 49x^2+36y^2+686x-360y+1537=0. please help.Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!49(x^2 + 14x) + 36(y^2 - 10y) = -1537 49(x^2 + 14x + 49) + 36(y^2 - 10y + 25) = -1537 + (49 * 49) + (36 * 25) 49(x + 7)^2 + 36(y - 5)^2 = -1537 + (49 * 49) + (36 * 25) [49(x + 7)^2 + 36(y - 5)^2] / (49 * 36) = [-1537 + (49 * 49) + (36 * 25)] / (49 * 36)