calculus

identify the conic section. Write in standard form and graph.

5x^2-6y^2-30x-12y+9=0

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  1. 5x^2-6y^2-30x-12y+9=0

    lets complete the square

    5(x^2 - 6x + ___) -6(y^2 + 2y + ___) = -9
    5(x^2 - 6x + 9) -6(y^2 + 2y + 1) = -9 + 45 - 6
    5(x-3)^2 - 6(y+1)^2 = 30
    divide both sides by 30
    (x-3^2 /6 - (y+1)^2 /5 = 1

    I will leave it up to you to identify the conic and its properties.

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