Precal Help Ellipse?

Question

Graph the ellipse. 

7x^(2) + 4y^(2) − 70x − 24y + 211 = 0

Answer 1

The equation is

To change the expressions (x ²- 10x ) and (y ² - 6y ) into a perfect square trinomial,

add (half the x coefficient)² and add (half the y coefficient)²to each side of the equation.

Standard form of vertical ellipse

Where a ² > b ²

And standard form of horizontal ellipse

Where a ² > b ²

Therefore, the equation  is not an ellipse.