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Use the Discriminant to Determine If the Graph of the Equation

question 17

Essay

Use the discriminant to determine if the graph of the equation, 13x2+63xy+7y2=6413 x ^ { 2 } + 6 \sqrt { 3 } x y + 7 y ^ { 2 } = 64 is a parabola, an ellipse or a hyperbola, then use a rotation of axes to eliminate the xyx y - term, and sketch the graph.


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