How do I graph the equation 16x^2+y^2+32x-18y=119 on a TI-84?

1 Answer
Dec 13, 2015

This represents an ellipse

Explanation:

No clue about TI 84, but this can be written in a more recognizable form by completing the squares,
16(x^2 +2x ) +(y^2-18y) =119
16(x^2 +2x +1) + (y^2-18y +81) -16-81=119
16(x+1)^2 + (y-9)^2 =216 which is an ellipse centered at (-1,9) with semi minor axis =sqrt(216/16) and semi major axis = sqrt(216)