SOLUTION: identify the conic section if it is a parabola give the vertex if it is a circle give the center and radius if it is a ellipse or a hyperbola give the center and foci 5x^2-5y^2+4

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Question 1010714: identify the conic section if it is a parabola give the vertex if it is a circle give the center and radius if it is a ellipse or a hyperbola give the center and foci
5x^2-5y^2+40x-20y+35=0

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!



Complete the squares as described , ...includes how to complete the square




HYPERBOLA
Center (-4,2)

If c is the distance from a focus to the center, then using and ,




Being a horizontal hyperbola, vertices on the x-axis, the foci are (-4-sqrt(14), 2) and (-4+sqrt(14), 2).

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