Lilmike234
  • Lilmike234
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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tkhunny
  • tkhunny
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.
Lilmike234
  • Lilmike234
Making this a elipse correct ?
tkhunny
  • tkhunny
You tell me.

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Lilmike234
  • Lilmike234
I don't know for sure that's why I was asking you...
tkhunny
  • tkhunny
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?
Lilmike234
  • Lilmike234
This leaves us with an elipse
tkhunny
  • tkhunny
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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