SOLUTION: determine the type of conic by the equation y^2 + y = x^2 + 2x

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: determine the type of conic by the equation y^2 + y = x^2 + 2x      Log On


   



Question 979289: determine the type of conic by the equation
y^2 + y = x^2 + 2x

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Try completing the squares (if necessary).

y%5E2%2By-x%5E2-2x=0

%28y%2B1%2F2%29%5E2-%28x%2B1%2F2%29%5E2=0

Degenerate Hyperbola.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

determine the type of conic by the equation
y^2 + y = x^2 + 2x
Different signs on 2nd degree variables signify: highlight_green%28HYPERBOLA%29