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

1 Answer
bp
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)#

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