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Lilmike234

  • one year ago

Which conic section is represented by the equation shown below? 2x^2-9x+4y^2+8x=16 A.) hyperbola B.) Parabola C.) Circle D.) Ellipse

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  1. tkhunny
    • one year ago
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    There is a formula for that, or you can resort to Completing the Square (in both x and y). You choose. (2x^2 - 9x + _____) + (4y^2 + 8x + _____) = 16 + ____ + _____ Or 2(x^2 - (9/2)x + _____) + 4(y^2 + 2x + _____) = 16 + 2(____) + 4(_____) Fill in the blanks.

  2. lilmike234
    • one year ago
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    Making this a elipse correct ?

  3. tkhunny
    • one year ago
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    You tell me.

  4. lilmike234
    • one year ago
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    I don't know for sure that's why I was asking you...

  5. tkhunny
    • one year ago
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    Well, you need to know for sure. I won't be there on your exam. What are the characteristics? Is there a "-" between the x-stuff and the y-stuff? If "no", then it's not an hyperbola. Is the coefficient on x^2 the same as the coefficient on y^2? If "no", then it's not a circle. Where does that leave us?

  6. lilmike234
    • one year ago
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    This leaves us with an elipse

  7. tkhunny
    • one year ago
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    Done! Now, where is your lack of confidence? P.S. There are some really weird degenerate conic sections where you get parallel lines or just a point.

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