CPM Homework Help : PC3 Problem 10-145

Rewrite each of the following equations in graphing form, identify the conic, and sketch the graph.

$9x^2 + 4y^2 - 36x + 24y + 36 = 0$
Step (a):
$9(x^2-4x+?)+4(y^2+6y+?)=-36+9(?)+4(?)$

$16x^2 − 5y^2 − 64x − 30y = 61$
Step (c):
$16(x^2-4x+?)-5(y^2+6y+?)=61+16(?)-5(?)$