What conic section does this equation represent?
9x^2+4y^2+18x=16

Question

What conic section does this equation represent?
9x^2+4y^2+18x=16

cutiecomittee123 · Answer

Isnt it a circle?

tkhunny · Answer

With no xy-term, these are eyeball problems.

Both Positive?  Ellipse unless coefficients are the same, then Circle.

Just ignore x-terms, y-terms, and constants.

tkhunny · Answer

$9\ne 4$  Ellipse, not Circle.

cutiecomittee123 · Answer

Its a parabola

tkhunny · Answer

No, parabolas can't have x^2 and y^2.

x^2 and y -- parabola
x and y^2 -- parabola

x^2 and y^2 -- NOT a parabola.

cutiecomittee123 · Answer

it is though I looked at the answer sheet

cutiecomittee123 · Answer

I know it frustrated me as well

tkhunny · Answer

Then the answer sheet is wrong or you have written the problem incorrectly.  These are the ONLY two choices if that is what the answer sheet things.

cutiecomittee123 · Answer

Maybe I wrote the problem incorrectly. thank you anyways 
I have another question, are you willing to help?

tkhunny · Answer

Posts new questions on new threads, please.  Use what you learned here to show your best work.  Maybe what we learned here was not to rely on the answer sheet.