HELP! What conic section is represented by the equation 3x^2+2y^2-24x+30=0? Explain how you know?

Question

HELP! What conic section is represented by the equation 3x^2+2y^2-24x+30=0? Explain how you know?

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    2021-11-26T07:50:39+00:00

    Answer:

    Step-by-step explanation:

    3x²+2y²-24 x+30=0

    3(x²-8x+16-16)+2y²+30=0

    3(x-4)²+2y²-48+30=0

    3(x-4)²+2y²-18=0

    (x-4)²+y²/(3/2)=18

    (x-4)²/18+y²/27=1

    it represents a parabola with center (4,0)

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