Math 170
posted by Yanis d .
16x^2+16y^2+64x32y+55=0
Identify the conic and find the center, radius(for circle), and a and b(for ellipse or hyperbola) sketch the graph

first group and partially factor
16(x^2 + 4x + .....) + 16(y^2  2y + .....) = 55
complete the squares
16(x^2 + 4x + 4) + 16(y^2  2y + 1) = 55 + 64 + 16
16(x+2)^2 + 16(y  1)^2 = 25
(x + 2)^2 + (y  1)^2 = 25/16
identify the conic and state its properties
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