Question
Which conic section is represented by the equation?
x^2 - y^2 + 24x + 4y + 28 = 0.
x^2 - y^2 + 24x + 4y + 28 = 0.
Answers
A hyperbola, because of the opposite signs of the x^2 and y^2 terms.
By completing squares, it can be rewritten in a standard form
[(x-a)/c]2 - [(y-b)/c]^2 = 1
By completing squares, it can be rewritten in a standard form
[(x-a)/c]2 - [(y-b)/c]^2 = 1
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