Math 170

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16x^2+16y^2+64x-32y+55=0
Identify the conic and find the center, radius(for circle), and a and b(for ellipse or hyperbola) sketch the graph

  • Math 170 -

    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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