Answer
hyperbola.
Work Step by Step
Given $2x^2+5xy+3y^2+3x-7=0$, we can find $A=2, B=5, C=3$, thus $B^2-4AC=25-4(2)(3)=1\gt0$ which mean that the conic is a hyperbola.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.