Question

Identify the conic section represented by the equation 5x^2 -7x +2y^2=10

Answer 1

because both the \(x^2\) and the \(y^2\) terms have positive coefficents, it is an ellipse

Answer 2

what are the rules to the other conics?

Answer 3

if the coefficients were equal it would be a circle, but they are different (5 and 2) so it is an ellipse

Answer 4

\[5x^2 -7x -2y^2=10\]if it was like that, it would be a hyperbola

Answer 5

because of the \(-2\) in front of the \(y^2\) term

Answer 6

i.e. because it is negative

Answer 7

oh ok i get it, thnx

Answer 8

yw